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Finding the Fourth Proportional to 80,024, 109,632.48 and 77,033.60

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Solution

The fourth proportional to 80,024, 109,632.48 and 77,033.60 is: 105,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,024 : 109,632.48 = 77,033.60 : x
  2. Step 2: Convert to fraction form
    80,024/109,632.48 = 77,033.60/x
  3. Step 3: Cross multiply
    80,024x = 109,632.48 × 77,033.60
  4. Step 4: Simplify right side
    80,024x = 8,445,384,611.33
  5. Step 5: Solve for x
    x = 8,445,384,611.33/80,024
  6. Step 6: Final answer
    x = 105,535.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.