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Finding the Fourth Proportional to 82,502.44, 113,565.72 and 71,207.80

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Solution

The fourth proportional to 82,502.44, 113,565.72 and 71,207.80 is: 98,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,502.44 : 113,565.72 = 71,207.80 : x
  2. Step 2: Convert to fraction form
    82,502.44/113,565.72 = 71,207.80/x
  3. Step 3: Cross multiply
    82,502.44x = 113,565.72 × 71,207.80
  4. Step 4: Simplify right side
    82,502.44x = 8,086,765,076.62
  5. Step 5: Solve for x
    x = 8,086,765,076.62/82,502.44
  6. Step 6: Final answer
    x = 98,018.50

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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.