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Finding the Fourth Proportional to 147,409.80, 220,852.26 and 68,386.20

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Solution

The fourth proportional to 147,409.80, 220,852.26 and 68,386.20 is: 102,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,409.80 : 220,852.26 = 68,386.20 : x
  2. Step 2: Convert to fraction form
    147,409.80/220,852.26 = 68,386.20/x
  3. Step 3: Cross multiply
    147,409.80x = 220,852.26 × 68,386.20
  4. Step 4: Simplify right side
    147,409.80x = 15,103,246,822.81
  5. Step 5: Solve for x
    x = 15,103,246,822.81/147,409.80
  6. Step 6: Final answer
    x = 102,457.55

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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.