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Finding the Fourth Proportional to 99,585.60, 137,383.68 and 67,309.92

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Solution

The fourth proportional to 99,585.60, 137,383.68 and 67,309.92 is: 92,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,585.60 : 137,383.68 = 67,309.92 : x
  2. Step 2: Convert to fraction form
    99,585.60/137,383.68 = 67,309.92/x
  3. Step 3: Cross multiply
    99,585.60x = 137,383.68 × 67,309.92
  4. Step 4: Simplify right side
    99,585.60x = 9,247,284,510.11
  5. Step 5: Solve for x
    x = 9,247,284,510.11/99,585.60
  6. Step 6: Final answer
    x = 92,857.65

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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.