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Finding the Fourth Proportional to 100,711.88, 138,981.38 and 55,389.14

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Solution

The fourth proportional to 100,711.88, 138,981.38 and 55,389.14 is: 76,436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711.88 : 138,981.38 = 55,389.14 : x
  2. Step 2: Convert to fraction form
    100,711.88/138,981.38 = 55,389.14/x
  3. Step 3: Cross multiply
    100,711.88x = 138,981.38 × 55,389.14
  4. Step 4: Simplify right side
    100,711.88x = 7,698,059,114.21
  5. Step 5: Solve for x
    x = 7,698,059,114.21/100,711.88
  6. Step 6: Final answer
    x = 76,436.46

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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.