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Finding the Fourth Proportional to 268,561, 402,929.34 and 81,572.68

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Solution

The fourth proportional to 268,561, 402,929.34 and 81,572.68 is: 122,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,561 : 402,929.34 = 81,572.68 : x
  2. Step 2: Convert to fraction form
    268,561/402,929.34 = 81,572.68/x
  3. Step 3: Cross multiply
    268,561x = 402,929.34 × 81,572.68
  4. Step 4: Simplify right side
    268,561x = 32,868,026,114.43
  5. Step 5: Solve for x
    x = 32,868,026,114.43/268,561
  6. Step 6: Final answer
    x = 122,385.70

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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.