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Finding the Fourth Proportional to 81,497.91, 112,461.42 and 45,201.27

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Solution

The fourth proportional to 81,497.91, 112,461.42 and 45,201.27 is: 62,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,497.91 : 112,461.42 = 45,201.27 : x
  2. Step 2: Convert to fraction form
    81,497.91/112,461.42 = 45,201.27/x
  3. Step 3: Cross multiply
    81,497.91x = 112,461.42 × 45,201.27
  4. Step 4: Simplify right side
    81,497.91x = 5,083,399,010.00
  5. Step 5: Solve for x
    x = 5,083,399,010.00/81,497.91
  6. Step 6: Final answer
    x = 62,374.59

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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.