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Finding the Fourth Proportional to 147,769, 221,596.08 and 47,905.12

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Solution

The fourth proportional to 147,769, 221,596.08 and 47,905.12 is: 71,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,769 : 221,596.08 = 47,905.12 : x
  2. Step 2: Convert to fraction form
    147,769/221,596.08 = 47,905.12/x
  3. Step 3: Cross multiply
    147,769x = 221,596.08 × 47,905.12
  4. Step 4: Simplify right side
    147,769x = 10,615,586,803.93
  5. Step 5: Solve for x
    x = 10,615,586,803.93/147,769
  6. Step 6: Final answer
    x = 71,839.07

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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.