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Finding the Fourth Proportional to 42,781.69, 63,808 and 40,102.57

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Solution

The fourth proportional to 42,781.69, 63,808 and 40,102.57 is: 59,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,781.69 : 63,808 = 40,102.57 : x
  2. Step 2: Convert to fraction form
    42,781.69/63,808 = 40,102.57/x
  3. Step 3: Cross multiply
    42,781.69x = 63,808 × 40,102.57
  4. Step 4: Simplify right side
    42,781.69x = 2,558,864,786.56
  5. Step 5: Solve for x
    x = 2,558,864,786.56/42,781.69
  6. Step 6: Final answer
    x = 59,812.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.