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Finding the Fourth Proportional to 100,343.80, 138,472.84 and 55,022.16

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Solution

The fourth proportional to 100,343.80, 138,472.84 and 55,022.16 is: 75,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,343.80 : 138,472.84 = 55,022.16 : x
  2. Step 2: Convert to fraction form
    100,343.80/138,472.84 = 55,022.16/x
  3. Step 3: Cross multiply
    100,343.80x = 138,472.84 × 55,022.16
  4. Step 4: Simplify right side
    100,343.80x = 7,619,074,758.13
  5. Step 5: Solve for x
    x = 7,619,074,758.13/100,343.80
  6. Step 6: Final answer
    x = 75,929.70

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1.5x scale

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.