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Finding the Fourth Proportional to 80,578.17, 120,275.78 and 74,640.47

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Solution

The fourth proportional to 80,578.17, 120,275.78 and 74,640.47 is: 111,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,578.17 : 120,275.78 = 74,640.47 : x
  2. Step 2: Convert to fraction form
    80,578.17/120,275.78 = 74,640.47/x
  3. Step 3: Cross multiply
    80,578.17x = 120,275.78 × 74,640.47
  4. Step 4: Simplify right side
    80,578.17x = 8,977,439,774.24
  5. Step 5: Solve for x
    x = 8,977,439,774.24/80,578.17
  6. Step 6: Final answer
    x = 111,412.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.