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Finding the Fourth Proportional to 78,350.64, 108,124.46 and 42,540.68

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Solution

The fourth proportional to 78,350.64, 108,124.46 and 42,540.68 is: 58,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,350.64 : 108,124.46 = 42,540.68 : x
  2. Step 2: Convert to fraction form
    78,350.64/108,124.46 = 42,540.68/x
  3. Step 3: Cross multiply
    78,350.64x = 108,124.46 × 42,540.68
  4. Step 4: Simplify right side
    78,350.64x = 4,599,687,299.71
  5. Step 5: Solve for x
    x = 4,599,687,299.71/78,350.64
  6. Step 6: Final answer
    x = 58,706.44

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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.