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Finding the Fourth Proportional to 100,677.47, 138,931.95 and 55,355.40

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Solution

The fourth proportional to 100,677.47, 138,931.95 and 55,355.40 is: 76,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,677.47 : 138,931.95 = 55,355.40 : x
  2. Step 2: Convert to fraction form
    100,677.47/138,931.95 = 55,355.40/x
  3. Step 3: Cross multiply
    100,677.47x = 138,931.95 × 55,355.40
  4. Step 4: Simplify right side
    100,677.47x = 7,690,633,665.03
  5. Step 5: Solve for x
    x = 7,690,633,665.03/100,677.47
  6. Step 6: Final answer
    x = 76,388.83

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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.