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Finding the Fourth Proportional to 100,657.41, 138,920.70 and 64,951.23

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Solution

The fourth proportional to 100,657.41, 138,920.70 and 64,951.23 is: 89,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657.41 : 138,920.70 = 64,951.23 : x
  2. Step 2: Convert to fraction form
    100,657.41/138,920.70 = 64,951.23/x
  3. Step 3: Cross multiply
    100,657.41x = 138,920.70 × 64,951.23
  4. Step 4: Simplify right side
    100,657.41x = 9,023,070,337.46
  5. Step 5: Solve for x
    x = 9,023,070,337.46/100,657.41
  6. Step 6: Final answer
    x = 89,641.39

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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.