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Finding the Fourth Proportional to 77,175.60, 115,882.20 and 42,183.60

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Solution

The fourth proportional to 77,175.60, 115,882.20 and 42,183.60 is: 63,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175.60 : 115,882.20 = 42,183.60 : x
  2. Step 2: Convert to fraction form
    77,175.60/115,882.20 = 42,183.60/x
  3. Step 3: Cross multiply
    77,175.60x = 115,882.20 × 42,183.60
  4. Step 4: Simplify right side
    77,175.60x = 4,888,328,371.92
  5. Step 5: Solve for x
    x = 4,888,328,371.92/77,175.60
  6. Step 6: Final answer
    x = 63,340.34

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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.