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Finding the Fourth Proportional to 103,614.64, 142,988.42 and 61,175.90

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Solution

The fourth proportional to 103,614.64, 142,988.42 and 61,175.90 is: 84,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614.64 : 142,988.42 = 61,175.90 : x
  2. Step 2: Convert to fraction form
    103,614.64/142,988.42 = 61,175.90/x
  3. Step 3: Cross multiply
    103,614.64x = 142,988.42 × 61,175.90
  4. Step 4: Simplify right side
    103,614.64x = 8,747,445,283.08
  5. Step 5: Solve for x
    x = 8,747,445,283.08/103,614.64
  6. Step 6: Final answer
    x = 84,422.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.