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Finding the Fourth Proportional to 81,655.38, 122,530.50 and 31,769.91

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Solution

The fourth proportional to 81,655.38, 122,530.50 and 31,769.91 is: 47,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,655.38 : 122,530.50 = 31,769.91 : x
  2. Step 2: Convert to fraction form
    81,655.38/122,530.50 = 31,769.91/x
  3. Step 3: Cross multiply
    81,655.38x = 122,530.50 × 31,769.91
  4. Step 4: Simplify right side
    81,655.38x = 3,892,782,957.26
  5. Step 5: Solve for x
    x = 3,892,782,957.26/81,655.38
  6. Step 6: Final answer
    x = 47,673.32

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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.