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Finding the Fourth Proportional to 147,743,999.87, 221,615,999.81 and 147,743,999.87

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Solution

The fourth proportional to 147,743,999.87, 221,615,999.81 and 147,743,999.87 is: 221,615,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,743,999.87 : 221,615,999.81 = 147,743,999.87 : x
  2. Step 2: Convert to fraction form
    147,743,999.87/221,615,999.81 = 147,743,999.87/x
  3. Step 3: Cross multiply
    147,743,999.87x = 221,615,999.81 × 147,743,999.87
  4. Step 4: Simplify right side
    147,743,999.87x = 32,742,434,246,102,824
  5. Step 5: Solve for x
    x = 32,742,434,246,102,824/147,743,999.87
  6. Step 6: Final answer
    x = 221,615,999.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.