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Finding the Fourth Proportional to 100,711.40, 138,978.78 and 55,389.56

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Solution

The fourth proportional to 100,711.40, 138,978.78 and 55,389.56 is: 76,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711.40 : 138,978.78 = 55,389.56 : x
  2. Step 2: Convert to fraction form
    100,711.40/138,978.78 = 55,389.56/x
  3. Step 3: Cross multiply
    100,711.40x = 138,978.78 × 55,389.56
  4. Step 4: Simplify right side
    100,711.40x = 7,697,973,473.54
  5. Step 5: Solve for x
    x = 7,697,973,473.54/100,711.40
  6. Step 6: Final answer
    x = 76,435.97

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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.