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Finding the Fourth Proportional to 78,597, 117,772.20 and 31,186.44

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Solution

The fourth proportional to 78,597, 117,772.20 and 31,186.44 is: 46,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,597 : 117,772.20 = 31,186.44 : x
  2. Step 2: Convert to fraction form
    78,597/117,772.20 = 31,186.44/x
  3. Step 3: Cross multiply
    78,597x = 117,772.20 × 31,186.44
  4. Step 4: Simplify right side
    78,597x = 3,672,895,648.97
  5. Step 5: Solve for x
    x = 3,672,895,648.97/78,597
  6. Step 6: Final answer
    x = 46,730.74

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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.