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Finding the Fourth Proportional to 91,714.60, 137,187.90 and 82,421.80

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Solution

The fourth proportional to 91,714.60, 137,187.90 and 82,421.80 is: 123,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,714.60 : 137,187.90 = 82,421.80 : x
  2. Step 2: Convert to fraction form
    91,714.60/137,187.90 = 82,421.80/x
  3. Step 3: Cross multiply
    91,714.60x = 137,187.90 × 82,421.80
  4. Step 4: Simplify right side
    91,714.60x = 11,307,273,656.22
  5. Step 5: Solve for x
    x = 11,307,273,656.22/91,714.60
  6. Step 6: Final answer
    x = 123,287.61

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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.