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Finding the Fourth Proportional to 135,167.47, 186,514.72 and 74,729.86

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Solution

The fourth proportional to 135,167.47, 186,514.72 and 74,729.86 is: 103,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,167.47 : 186,514.72 = 74,729.86 : x
  2. Step 2: Convert to fraction form
    135,167.47/186,514.72 = 74,729.86/x
  3. Step 3: Cross multiply
    135,167.47x = 186,514.72 × 74,729.86
  4. Step 4: Simplify right side
    135,167.47x = 13,938,218,260.43
  5. Step 5: Solve for x
    x = 13,938,218,260.43/135,167.47
  6. Step 6: Final answer
    x = 103,118.14

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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.