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Finding the Fourth Proportional to 77,147.60, 115,680.24 and 36,578.48

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Solution

The fourth proportional to 77,147.60, 115,680.24 and 36,578.48 is: 54,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,147.60 : 115,680.24 = 36,578.48 : x
  2. Step 2: Convert to fraction form
    77,147.60/115,680.24 = 36,578.48/x
  3. Step 3: Cross multiply
    77,147.60x = 115,680.24 × 36,578.48
  4. Step 4: Simplify right side
    77,147.60x = 4,231,407,345.24
  5. Step 5: Solve for x
    x = 4,231,407,345.24/77,147.60
  6. Step 6: Final answer
    x = 54,848.20

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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.