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Finding the Fourth Proportional to 78,441.75, 108,250.44 and 42,631.74

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Solution

The fourth proportional to 78,441.75, 108,250.44 and 42,631.74 is: 58,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,441.75 : 108,250.44 = 42,631.74 : x
  2. Step 2: Convert to fraction form
    78,441.75/108,250.44 = 42,631.74/x
  3. Step 3: Cross multiply
    78,441.75x = 108,250.44 × 42,631.74
  4. Step 4: Simplify right side
    78,441.75x = 4,614,904,612.97
  5. Step 5: Solve for x
    x = 4,614,904,612.97/78,441.75
  6. Step 6: Final answer
    x = 58,832.25

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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.