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Finding the Fourth Proportional to 42,387.78, 63,581.70 and 14,685.78

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Solution

The fourth proportional to 42,387.78, 63,581.70 and 14,685.78 is: 22,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,387.78 : 63,581.70 = 14,685.78 : x
  2. Step 2: Convert to fraction form
    42,387.78/63,581.70 = 14,685.78/x
  3. Step 3: Cross multiply
    42,387.78x = 63,581.70 × 14,685.78
  4. Step 4: Simplify right side
    42,387.78x = 933,746,858.23
  5. Step 5: Solve for x
    x = 933,746,858.23/42,387.78
  6. Step 6: Final answer
    x = 22,028.68

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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.