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Finding the Fourth Proportional to 138,146.69, 207,199.47 and 38,296.46

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Solution

The fourth proportional to 138,146.69, 207,199.47 and 38,296.46 is: 57,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,146.69 : 207,199.47 = 38,296.46 : x
  2. Step 2: Convert to fraction form
    138,146.69/207,199.47 = 38,296.46/x
  3. Step 3: Cross multiply
    138,146.69x = 207,199.47 × 38,296.46
  4. Step 4: Simplify right side
    138,146.69x = 7,935,006,214.88
  5. Step 5: Solve for x
    x = 7,935,006,214.88/138,146.69
  6. Step 6: Final answer
    x = 57,438.99

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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.