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Finding the Fourth Proportional to 71,514.42, 107,154.87 and 36,405.78

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Solution

The fourth proportional to 71,514.42, 107,154.87 and 36,405.78 is: 54,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,514.42 : 107,154.87 = 36,405.78 : x
  2. Step 2: Convert to fraction form
    71,514.42/107,154.87 = 36,405.78/x
  3. Step 3: Cross multiply
    71,514.42x = 107,154.87 × 36,405.78
  4. Step 4: Simplify right side
    71,514.42x = 3,901,056,623.15
  5. Step 5: Solve for x
    x = 3,901,056,623.15/71,514.42
  6. Step 6: Final answer
    x = 54,549.23

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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.