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Finding the Fourth Proportional to 140,920.80, 194,465.52 and 77,257.20

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Solution

The fourth proportional to 140,920.80, 194,465.52 and 77,257.20 is: 106,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,920.80 : 194,465.52 = 77,257.20 : x
  2. Step 2: Convert to fraction form
    140,920.80/194,465.52 = 77,257.20/x
  3. Step 3: Cross multiply
    140,920.80x = 194,465.52 × 77,257.20
  4. Step 4: Simplify right side
    140,920.80x = 15,023,861,571.74
  5. Step 5: Solve for x
    x = 15,023,861,571.74/140,920.80
  6. Step 6: Final answer
    x = 106,612.09

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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.