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Finding the Fourth Proportional to 268,658.14, 402,972.63 and 81,655.06

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Solution

The fourth proportional to 268,658.14, 402,972.63 and 81,655.06 is: 122,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,658.14 : 402,972.63 = 81,655.06 : x
  2. Step 2: Convert to fraction form
    268,658.14/402,972.63 = 81,655.06/x
  3. Step 3: Cross multiply
    268,658.14x = 402,972.63 × 81,655.06
  4. Step 4: Simplify right side
    268,658.14x = 32,904,754,281.01
  5. Step 5: Solve for x
    x = 32,904,754,281.01/268,658.14
  6. Step 6: Final answer
    x = 122,478.16

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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.