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Finding the Fourth Proportional to 140,438.40, 211,118.40 and 99,171.20

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Solution

The fourth proportional to 140,438.40, 211,118.40 and 99,171.20 is: 149,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,438.40 : 211,118.40 = 99,171.20 : x
  2. Step 2: Convert to fraction form
    140,438.40/211,118.40 = 99,171.20/x
  3. Step 3: Cross multiply
    140,438.40x = 211,118.40 × 99,171.20
  4. Step 4: Simplify right side
    140,438.40x = 20,936,865,070.08
  5. Step 5: Solve for x
    x = 20,936,865,070.08/140,438.40
  6. Step 6: Final answer
    x = 149,082.20

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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.