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Finding the Fourth Proportional to 100,025.34, 138,029.87 and 54,694.53

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Solution

The fourth proportional to 100,025.34, 138,029.87 and 54,694.53 is: 75,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,025.34 : 138,029.87 = 54,694.53 : x
  2. Step 2: Convert to fraction form
    100,025.34/138,029.87 = 54,694.53/x
  3. Step 3: Cross multiply
    100,025.34x = 138,029.87 × 54,694.53
  4. Step 4: Simplify right side
    100,025.34x = 7,549,478,592.14
  5. Step 5: Solve for x
    x = 7,549,478,592.14/100,025.34
  6. Step 6: Final answer
    x = 75,475.66

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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.