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Finding the Fourth Proportional to 100,711.90, 138,979.46 and 55,389.84

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Solution

The fourth proportional to 100,711.90, 138,979.46 and 55,389.84 is: 76,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711.90 : 138,979.46 = 55,389.84 : x
  2. Step 2: Convert to fraction form
    100,711.90/138,979.46 = 55,389.84/x
  3. Step 3: Cross multiply
    100,711.90x = 138,979.46 × 55,389.84
  4. Step 4: Simplify right side
    100,711.90x = 7,698,050,052.69
  5. Step 5: Solve for x
    x = 7,698,050,052.69/100,711.90
  6. Step 6: Final answer
    x = 76,436.35

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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.