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Finding the Fourth Proportional to 138,144.57, 190,650.54 and 77,711.59

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Solution

The fourth proportional to 138,144.57, 190,650.54 and 77,711.59 is: 107,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,144.57 : 190,650.54 = 77,711.59 : x
  2. Step 2: Convert to fraction form
    138,144.57/190,650.54 = 77,711.59/x
  3. Step 3: Cross multiply
    138,144.57x = 190,650.54 × 77,711.59
  4. Step 4: Simplify right side
    138,144.57x = 14,815,756,597.76
  5. Step 5: Solve for x
    x = 14,815,756,597.76/138,144.57
  6. Step 6: Final answer
    x = 107,248.20

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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.