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Finding the Fourth Proportional to 80,702.45, 121,073.10 and 25,298.45

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Solution

The fourth proportional to 80,702.45, 121,073.10 and 25,298.45 is: 37,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,702.45 : 121,073.10 = 25,298.45 : x
  2. Step 2: Convert to fraction form
    80,702.45/121,073.10 = 25,298.45/x
  3. Step 3: Cross multiply
    80,702.45x = 121,073.10 × 25,298.45
  4. Step 4: Simplify right side
    80,702.45x = 3,062,961,766.70
  5. Step 5: Solve for x
    x = 3,062,961,766.70/80,702.45
  6. Step 6: Final answer
    x = 37,953.76

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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.