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Finding the Fourth Proportional to 100,657.59, 138,909.18 and 55,337.46

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Solution

The fourth proportional to 100,657.59, 138,909.18 and 55,337.46 is: 76,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657.59 : 138,909.18 = 55,337.46 : x
  2. Step 2: Convert to fraction form
    100,657.59/138,909.18 = 55,337.46/x
  3. Step 3: Cross multiply
    100,657.59x = 138,909.18 × 55,337.46
  4. Step 4: Simplify right side
    100,657.59x = 7,686,881,191.88
  5. Step 5: Solve for x
    x = 7,686,881,191.88/100,657.59
  6. Step 6: Final answer
    x = 76,366.63

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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.