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Finding the Fourth Proportional to 80,949.60, 121,294.80 and 53,215.20

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Solution

The fourth proportional to 80,949.60, 121,294.80 and 53,215.20 is: 79,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,949.60 : 121,294.80 = 53,215.20 : x
  2. Step 2: Convert to fraction form
    80,949.60/121,294.80 = 53,215.20/x
  3. Step 3: Cross multiply
    80,949.60x = 121,294.80 × 53,215.20
  4. Step 4: Simplify right side
    80,949.60x = 6,454,727,040.96
  5. Step 5: Solve for x
    x = 6,454,727,040.96/80,949.60
  6. Step 6: Final answer
    x = 79,737.60

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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.