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Finding the Fourth Proportional to 100,097.74, 138,132.75 and 54,775.54

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Solution

The fourth proportional to 100,097.74, 138,132.75 and 54,775.54 is: 75,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.74 : 138,132.75 = 54,775.54 : x
  2. Step 2: Convert to fraction form
    100,097.74/138,132.75 = 54,775.54/x
  3. Step 3: Cross multiply
    100,097.74x = 138,132.75 × 54,775.54
  4. Step 4: Simplify right side
    100,097.74x = 7,566,295,972.94
  5. Step 5: Solve for x
    x = 7,566,295,972.94/100,097.74
  6. Step 6: Final answer
    x = 75,589.08

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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.