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Finding the Fourth Proportional to 81,871.48, 122,730.54 and 74,567.44

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Solution

The fourth proportional to 81,871.48, 122,730.54 and 74,567.44 is: 111,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,871.48 : 122,730.54 = 74,567.44 : x
  2. Step 2: Convert to fraction form
    81,871.48/122,730.54 = 74,567.44/x
  3. Step 3: Cross multiply
    81,871.48x = 122,730.54 × 74,567.44
  4. Step 4: Simplify right side
    81,871.48x = 9,151,702,177.62
  5. Step 5: Solve for x
    x = 9,151,702,177.62/81,871.48
  6. Step 6: Final answer
    x = 111,781.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.