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Finding the Fourth Proportional to 100,097.78, 138,134.93 and 54,775.77

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Solution

The fourth proportional to 100,097.78, 138,134.93 and 54,775.77 is: 75,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.78 : 138,134.93 = 54,775.77 : x
  2. Step 2: Convert to fraction form
    100,097.78/138,134.93 = 54,775.77/x
  3. Step 3: Cross multiply
    100,097.78x = 138,134.93 × 54,775.77
  4. Step 4: Simplify right side
    100,097.78x = 7,566,446,880.77
  5. Step 5: Solve for x
    x = 7,566,446,880.77/100,097.78
  6. Step 6: Final answer
    x = 75,590.56

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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.