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Finding the Fourth Proportional to 140,599.40, 211,103.90 and 99,229.80

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Solution

The fourth proportional to 140,599.40, 211,103.90 and 99,229.80 is: 148,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,599.40 : 211,103.90 = 99,229.80 : x
  2. Step 2: Convert to fraction form
    140,599.40/211,103.90 = 99,229.80/x
  3. Step 3: Cross multiply
    140,599.40x = 211,103.90 × 99,229.80
  4. Step 4: Simplify right side
    140,599.40x = 20,947,797,776.22
  5. Step 5: Solve for x
    x = 20,947,797,776.22/140,599.40
  6. Step 6: Final answer
    x = 148,989.24

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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.