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Finding the Fourth Proportional to 100,028.36, 138,034.04 and 54,697.56

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Solution

The fourth proportional to 100,028.36, 138,034.04 and 54,697.56 is: 75,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,028.36 : 138,034.04 = 54,697.56 : x
  2. Step 2: Convert to fraction form
    100,028.36/138,034.04 = 54,697.56/x
  3. Step 3: Cross multiply
    100,028.36x = 138,034.04 × 54,697.56
  4. Step 4: Simplify right side
    100,028.36x = 7,550,125,184.94
  5. Step 5: Solve for x
    x = 7,550,125,184.94/100,028.36
  6. Step 6: Final answer
    x = 75,479.85

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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.