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Finding the Fourth Proportional to 119,923.64, 165,508.64 and 99,744.92

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Solution

The fourth proportional to 119,923.64, 165,508.64 and 99,744.92 is: 137,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,923.64 : 165,508.64 = 99,744.92 : x
  2. Step 2: Convert to fraction form
    119,923.64/165,508.64 = 99,744.92/x
  3. Step 3: Cross multiply
    119,923.64x = 165,508.64 × 99,744.92
  4. Step 4: Simplify right side
    119,923.64x = 16,508,646,056.11
  5. Step 5: Solve for x
    x = 16,508,646,056.11/119,923.64
  6. Step 6: Final answer
    x = 137,659.65

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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.