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Finding the Fourth Proportional to 138,661.62, 207,992.43 and 49,913.16

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Solution

The fourth proportional to 138,661.62, 207,992.43 and 49,913.16 is: 74,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,661.62 : 207,992.43 = 49,913.16 : x
  2. Step 2: Convert to fraction form
    138,661.62/207,992.43 = 49,913.16/x
  3. Step 3: Cross multiply
    138,661.62x = 207,992.43 × 49,913.16
  4. Step 4: Simplify right side
    138,661.62x = 10,381,559,437.38
  5. Step 5: Solve for x
    x = 10,381,559,437.38/138,661.62
  6. Step 6: Final answer
    x = 74,869.74

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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.