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Finding the Fourth Proportional to 137,345.20, 206,147.40 and 84,857.20

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Solution

The fourth proportional to 137,345.20, 206,147.40 and 84,857.20 is: 127,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,345.20 : 206,147.40 = 84,857.20 : x
  2. Step 2: Convert to fraction form
    137,345.20/206,147.40 = 84,857.20/x
  3. Step 3: Cross multiply
    137,345.20x = 206,147.40 × 84,857.20
  4. Step 4: Simplify right side
    137,345.20x = 17,493,091,151.28
  5. Step 5: Solve for x
    x = 17,493,091,151.28/137,345.20
  6. Step 6: Final answer
    x = 127,365.87

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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.