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Finding the Fourth Proportional to 99,808.59, 137,733.80 and 54,487.47

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Solution

The fourth proportional to 99,808.59, 137,733.80 and 54,487.47 is: 75,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,808.59 : 137,733.80 = 54,487.47 : x
  2. Step 2: Convert to fraction form
    99,808.59/137,733.80 = 54,487.47/x
  3. Step 3: Cross multiply
    99,808.59x = 137,733.80 × 54,487.47
  4. Step 4: Simplify right side
    99,808.59x = 7,504,766,023.05
  5. Step 5: Solve for x
    x = 7,504,766,023.05/99,808.59
  6. Step 6: Final answer
    x = 75,191.58

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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.