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Finding the Fourth Proportional to 186,314.64, 278,613.60 and 138,373.92

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Solution

The fourth proportional to 186,314.64, 278,613.60 and 138,373.92 is: 206,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,314.64 : 278,613.60 = 138,373.92 : x
  2. Step 2: Convert to fraction form
    186,314.64/278,613.60 = 138,373.92/x
  3. Step 3: Cross multiply
    186,314.64x = 278,613.60 × 138,373.92
  4. Step 4: Simplify right side
    186,314.64x = 38,552,855,997.31
  5. Step 5: Solve for x
    x = 38,552,855,997.31/186,314.64
  6. Step 6: Final answer
    x = 206,923.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.