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Finding the Fourth Proportional to 99,715.20, 149,572.80 and 80,032.20

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Solution

The fourth proportional to 99,715.20, 149,572.80 and 80,032.20 is: 120,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,715.20 : 149,572.80 = 80,032.20 : x
  2. Step 2: Convert to fraction form
    99,715.20/149,572.80 = 80,032.20/x
  3. Step 3: Cross multiply
    99,715.20x = 149,572.80 × 80,032.20
  4. Step 4: Simplify right side
    99,715.20x = 11,970,640,244.16
  5. Step 5: Solve for x
    x = 11,970,640,244.16/99,715.20
  6. Step 6: Final answer
    x = 120,048.30

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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.