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Finding the Fourth Proportional to 81,851.20, 112,972.80 and 53,540.80

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Solution

The fourth proportional to 81,851.20, 112,972.80 and 53,540.80 is: 73,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,851.20 : 112,972.80 = 53,540.80 : x
  2. Step 2: Convert to fraction form
    81,851.20/112,972.80 = 53,540.80/x
  3. Step 3: Cross multiply
    81,851.20x = 112,972.80 × 53,540.80
  4. Step 4: Simplify right side
    81,851.20x = 6,048,654,090.24
  5. Step 5: Solve for x
    x = 6,048,654,090.24/81,851.20
  6. Step 6: Final answer
    x = 73,898.17

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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.