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Finding the Fourth Proportional to 99,814.80, 149,722.20 and 82,100.10

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Solution

The fourth proportional to 99,814.80, 149,722.20 and 82,100.10 is: 123,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,814.80 : 149,722.20 = 82,100.10 : x
  2. Step 2: Convert to fraction form
    99,814.80/149,722.20 = 82,100.10/x
  3. Step 3: Cross multiply
    99,814.80x = 149,722.20 × 82,100.10
  4. Step 4: Simplify right side
    99,814.80x = 12,292,207,592.22
  5. Step 5: Solve for x
    x = 12,292,207,592.22/99,814.80
  6. Step 6: Final answer
    x = 123,150.15

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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.