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Finding the Fourth Proportional to 81,410.72, 112,343.28 and 45,600.80

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Solution

The fourth proportional to 81,410.72, 112,343.28 and 45,600.80 is: 62,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410.72 : 112,343.28 = 45,600.80 : x
  2. Step 2: Convert to fraction form
    81,410.72/112,343.28 = 45,600.80/x
  3. Step 3: Cross multiply
    81,410.72x = 112,343.28 × 45,600.80
  4. Step 4: Simplify right side
    81,410.72x = 5,122,943,442.62
  5. Step 5: Solve for x
    x = 5,122,943,442.62/81,410.72
  6. Step 6: Final answer
    x = 62,927.14

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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.