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Finding the Fourth Proportional to 99,909.20, 149,863.80 and 96,021.20

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Solution

The fourth proportional to 99,909.20, 149,863.80 and 96,021.20 is: 144,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,909.20 : 149,863.80 = 96,021.20 : x
  2. Step 2: Convert to fraction form
    99,909.20/149,863.80 = 96,021.20/x
  3. Step 3: Cross multiply
    99,909.20x = 149,863.80 × 96,021.20
  4. Step 4: Simplify right side
    99,909.20x = 14,390,101,912.56
  5. Step 5: Solve for x
    x = 14,390,101,912.56/99,909.20
  6. Step 6: Final answer
    x = 144,031.80

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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.