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Finding the Fourth Proportional to 78,318.76, 108,080 and 42,508.78

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Solution

The fourth proportional to 78,318.76, 108,080 and 42,508.78 is: 58,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,318.76 : 108,080 = 42,508.78 : x
  2. Step 2: Convert to fraction form
    78,318.76/108,080 = 42,508.78/x
  3. Step 3: Cross multiply
    78,318.76x = 108,080 × 42,508.78
  4. Step 4: Simplify right side
    78,318.76x = 4,594,348,942.40
  5. Step 5: Solve for x
    x = 4,594,348,942.40/78,318.76
  6. Step 6: Final answer
    x = 58,662.18

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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.