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Finding the Fourth Proportional to 137,642.40, 206,204.40 and 70,855.20

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Solution

The fourth proportional to 137,642.40, 206,204.40 and 70,855.20 is: 106,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,642.40 : 206,204.40 = 70,855.20 : x
  2. Step 2: Convert to fraction form
    137,642.40/206,204.40 = 70,855.20/x
  3. Step 3: Cross multiply
    137,642.40x = 206,204.40 × 70,855.20
  4. Step 4: Simplify right side
    137,642.40x = 14,610,654,002.88
  5. Step 5: Solve for x
    x = 14,610,654,002.88/137,642.40
  6. Step 6: Final answer
    x = 106,149.37

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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.