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Finding the Fourth Proportional to 135,357.60, 186,793.84 and 74,932.40

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Solution

The fourth proportional to 135,357.60, 186,793.84 and 74,932.40 is: 103,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,357.60 : 186,793.84 = 74,932.40 : x
  2. Step 2: Convert to fraction form
    135,357.60/186,793.84 = 74,932.40/x
  3. Step 3: Cross multiply
    135,357.60x = 186,793.84 × 74,932.40
  4. Step 4: Simplify right side
    135,357.60x = 13,996,910,736.42
  5. Step 5: Solve for x
    x = 13,996,910,736.42/135,357.60
  6. Step 6: Final answer
    x = 103,406.91

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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.