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Finding the Fourth Proportional to 276,747.60, 415,121.40 and 77,098.80

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Solution

The fourth proportional to 276,747.60, 415,121.40 and 77,098.80 is: 115,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,747.60 : 415,121.40 = 77,098.80 : x
  2. Step 2: Convert to fraction form
    276,747.60/415,121.40 = 77,098.80/x
  3. Step 3: Cross multiply
    276,747.60x = 415,121.40 × 77,098.80
  4. Step 4: Simplify right side
    276,747.60x = 32,005,361,794.32
  5. Step 5: Solve for x
    x = 32,005,361,794.32/276,747.60
  6. Step 6: Final answer
    x = 115,648.20

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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.