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Finding the Fourth Proportional to 135,146.72, 186,532.08 and 78,590.72

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Solution

The fourth proportional to 135,146.72, 186,532.08 and 78,590.72 is: 108,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,146.72 : 186,532.08 = 78,590.72 : x
  2. Step 2: Convert to fraction form
    135,146.72/186,532.08 = 78,590.72/x
  3. Step 3: Cross multiply
    135,146.72x = 186,532.08 × 78,590.72
  4. Step 4: Simplify right side
    135,146.72x = 14,659,690,470.30
  5. Step 5: Solve for x
    x = 14,659,690,470.30/135,146.72
  6. Step 6: Final answer
    x = 108,472.41

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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.