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Finding the Fourth Proportional to 78,213.80, 116,314.43 and 75,722.64

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Solution

The fourth proportional to 78,213.80, 116,314.43 and 75,722.64 is: 112,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,213.80 : 116,314.43 = 75,722.64 : x
  2. Step 2: Convert to fraction form
    78,213.80/116,314.43 = 75,722.64/x
  3. Step 3: Cross multiply
    78,213.80x = 116,314.43 × 75,722.64
  4. Step 4: Simplify right side
    78,213.80x = 8,807,635,331.08
  5. Step 5: Solve for x
    x = 8,807,635,331.08/78,213.80
  6. Step 6: Final answer
    x = 112,609.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.