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Finding the Fourth Proportional to 100,097.40, 138,134.41 and 54,775.40

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Solution

The fourth proportional to 100,097.40, 138,134.41 and 54,775.40 is: 75,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.40 : 138,134.41 = 54,775.40 : x
  2. Step 2: Convert to fraction form
    100,097.40/138,134.41 = 54,775.40/x
  3. Step 3: Cross multiply
    100,097.40x = 138,134.41 × 54,775.40
  4. Step 4: Simplify right side
    100,097.40x = 7,566,366,733.90
  5. Step 5: Solve for x
    x = 7,566,366,733.90/100,097.40
  6. Step 6: Final answer
    x = 75,590.04

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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.