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Finding the Fourth Proportional to 138,661.16, 207,943.08 and 38,794.52

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Solution

The fourth proportional to 138,661.16, 207,943.08 and 38,794.52 is: 58,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,661.16 : 207,943.08 = 38,794.52 : x
  2. Step 2: Convert to fraction form
    138,661.16/207,943.08 = 38,794.52/x
  3. Step 3: Cross multiply
    138,661.16x = 207,943.08 × 38,794.52
  4. Step 4: Simplify right side
    138,661.16x = 8,067,051,975.92
  5. Step 5: Solve for x
    x = 8,067,051,975.92/138,661.16
  6. Step 6: Final answer
    x = 58,178.17

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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.