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Finding the Fourth Proportional to 78,348.60, 117,542.34 and 36,747

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Solution

The fourth proportional to 78,348.60, 117,542.34 and 36,747 is: 55,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,348.60 : 117,542.34 = 36,747 : x
  2. Step 2: Convert to fraction form
    78,348.60/117,542.34 = 36,747/x
  3. Step 3: Cross multiply
    78,348.60x = 117,542.34 × 36,747
  4. Step 4: Simplify right side
    78,348.60x = 4,319,328,367.98
  5. Step 5: Solve for x
    x = 4,319,328,367.98/78,348.60
  6. Step 6: Final answer
    x = 55,129.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.