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Finding the Fourth Proportional to 100,490.79, 138,678.92 and 55,172.95

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Solution

The fourth proportional to 100,490.79, 138,678.92 and 55,172.95 is: 76,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,490.79 : 138,678.92 = 55,172.95 : x
  2. Step 2: Convert to fraction form
    100,490.79/138,678.92 = 55,172.95/x
  3. Step 3: Cross multiply
    100,490.79x = 138,678.92 × 55,172.95
  4. Step 4: Simplify right side
    100,490.79x = 7,651,324,843.35
  5. Step 5: Solve for x
    x = 7,651,324,843.35/100,490.79
  6. Step 6: Final answer
    x = 76,139.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.