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Finding the Fourth Proportional to 78,439.88, 108,247.86 and 42,629.88

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Solution

The fourth proportional to 78,439.88, 108,247.86 and 42,629.88 is: 58,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,439.88 : 108,247.86 = 42,629.88 : x
  2. Step 2: Convert to fraction form
    78,439.88/108,247.86 = 42,629.88/x
  3. Step 3: Cross multiply
    78,439.88x = 108,247.86 × 42,629.88
  4. Step 4: Simplify right side
    78,439.88x = 4,614,593,282.06
  5. Step 5: Solve for x
    x = 4,614,593,282.06/78,439.88
  6. Step 6: Final answer
    x = 58,829.68

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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.