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Finding the Fourth Proportional to 137,410.20, 206,115.30 and 42,640.20

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Solution

The fourth proportional to 137,410.20, 206,115.30 and 42,640.20 is: 63,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,410.20 : 206,115.30 = 42,640.20 : x
  2. Step 2: Convert to fraction form
    137,410.20/206,115.30 = 42,640.20/x
  3. Step 3: Cross multiply
    137,410.20x = 206,115.30 × 42,640.20
  4. Step 4: Simplify right side
    137,410.20x = 8,788,797,615.06
  5. Step 5: Solve for x
    x = 8,788,797,615.06/137,410.20
  6. Step 6: Final answer
    x = 63,960.30

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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.