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Finding the Fourth Proportional to 138,345.13, 207,369.87 and 98,782.30

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Solution

The fourth proportional to 138,345.13, 207,369.87 and 98,782.30 is: 148,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,345.13 : 207,369.87 = 98,782.30 : x
  2. Step 2: Convert to fraction form
    138,345.13/207,369.87 = 98,782.30/x
  3. Step 3: Cross multiply
    138,345.13x = 207,369.87 × 98,782.30
  4. Step 4: Simplify right side
    138,345.13x = 20,484,472,709.30
  5. Step 5: Solve for x
    x = 20,484,472,709.30/138,345.13
  6. Step 6: Final answer
    x = 148,067.90

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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.