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Finding the Fourth Proportional to 138,488.72, 207,768.02 and 38,648.81

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Solution

The fourth proportional to 138,488.72, 207,768.02 and 38,648.81 is: 57,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,488.72 : 207,768.02 = 38,648.81 : x
  2. Step 2: Convert to fraction form
    138,488.72/207,768.02 = 38,648.81/x
  3. Step 3: Cross multiply
    138,488.72x = 207,768.02 × 38,648.81
  4. Step 4: Simplify right side
    138,488.72x = 8,029,987,055.23
  5. Step 5: Solve for x
    x = 8,029,987,055.23/138,488.72
  6. Step 6: Final answer
    x = 57,982.97

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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.