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Finding the Fourth Proportional to 80,802.48, 111,469.14 and 52,497.84

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Solution

The fourth proportional to 80,802.48, 111,469.14 and 52,497.84 is: 72,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,802.48 : 111,469.14 = 52,497.84 : x
  2. Step 2: Convert to fraction form
    80,802.48/111,469.14 = 52,497.84/x
  3. Step 3: Cross multiply
    80,802.48x = 111,469.14 × 52,497.84
  4. Step 4: Simplify right side
    80,802.48x = 5,851,889,076.66
  5. Step 5: Solve for x
    x = 5,851,889,076.66/80,802.48
  6. Step 6: Final answer
    x = 72,422.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.