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Finding the Fourth Proportional to 84,073.75, 115,956.13 and 53,861.86

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Solution

The fourth proportional to 84,073.75, 115,956.13 and 53,861.86 is: 74,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,073.75 : 115,956.13 = 53,861.86 : x
  2. Step 2: Convert to fraction form
    84,073.75/115,956.13 = 53,861.86/x
  3. Step 3: Cross multiply
    84,073.75x = 115,956.13 × 53,861.86
  4. Step 4: Simplify right side
    84,073.75x = 6,245,613,102.97
  5. Step 5: Solve for x
    x = 6,245,613,102.97/84,073.75
  6. Step 6: Final answer
    x = 74,287.32

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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.