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Finding the Fourth Proportional to 103,368.50, 142,644.92 and 63,149.57

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Solution

The fourth proportional to 103,368.50, 142,644.92 and 63,149.57 is: 87,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,368.50 : 142,644.92 = 63,149.57 : x
  2. Step 2: Convert to fraction form
    103,368.50/142,644.92 = 63,149.57/x
  3. Step 3: Cross multiply
    103,368.50x = 142,644.92 × 63,149.57
  4. Step 4: Simplify right side
    103,368.50x = 9,007,964,331.71
  5. Step 5: Solve for x
    x = 9,007,964,331.71/103,368.50
  6. Step 6: Final answer
    x = 87,144.20

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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.