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Finding the Fourth Proportional to 268,154.72, 402,231.73 and 68,475

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Solution

The fourth proportional to 268,154.72, 402,231.73 and 68,475 is: 102,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,154.72 : 402,231.73 = 68,475 : x
  2. Step 2: Convert to fraction form
    268,154.72/402,231.73 = 68,475/x
  3. Step 3: Cross multiply
    268,154.72x = 402,231.73 × 68,475
  4. Step 4: Simplify right side
    268,154.72x = 27,542,817,711.75
  5. Step 5: Solve for x
    x = 27,542,817,711.75/268,154.72
  6. Step 6: Final answer
    x = 102,712.41

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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.