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Finding the Fourth Proportional to 138,546, 207,767.92 and 49,775.68

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Solution

The fourth proportional to 138,546, 207,767.92 and 49,775.68 is: 74,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546 : 207,767.92 = 49,775.68 : x
  2. Step 2: Convert to fraction form
    138,546/207,767.92 = 49,775.68/x
  3. Step 3: Cross multiply
    138,546x = 207,767.92 × 49,775.68
  4. Step 4: Simplify right side
    138,546x = 10,341,789,500.19
  5. Step 5: Solve for x
    x = 10,341,789,500.19/138,546
  6. Step 6: Final answer
    x = 74,645.17

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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.