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Finding the Fourth Proportional to 278,067.70, 417,101.55 and 91,098.10

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Solution

The fourth proportional to 278,067.70, 417,101.55 and 91,098.10 is: 136,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,067.70 : 417,101.55 = 91,098.10 : x
  2. Step 2: Convert to fraction form
    278,067.70/417,101.55 = 91,098.10/x
  3. Step 3: Cross multiply
    278,067.70x = 417,101.55 × 91,098.10
  4. Step 4: Simplify right side
    278,067.70x = 37,997,158,712.06
  5. Step 5: Solve for x
    x = 37,997,158,712.06/278,067.70
  6. Step 6: Final answer
    x = 136,647.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.