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Finding the Fourth Proportional to 100,177.17, 137,965.73 and 77,432.37

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Solution

The fourth proportional to 100,177.17, 137,965.73 and 77,432.37 is: 106,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177.17 : 137,965.73 = 77,432.37 : x
  2. Step 2: Convert to fraction form
    100,177.17/137,965.73 = 77,432.37/x
  3. Step 3: Cross multiply
    100,177.17x = 137,965.73 × 77,432.37
  4. Step 4: Simplify right side
    100,177.17x = 10,683,013,065.52
  5. Step 5: Solve for x
    x = 10,683,013,065.52/100,177.17
  6. Step 6: Final answer
    x = 106,641.19

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1.5x scale

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.