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Finding the Fourth Proportional to 81,242.82, 121,877.19 and 28,644.66

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Solution

The fourth proportional to 81,242.82, 121,877.19 and 28,644.66 is: 42,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,242.82 : 121,877.19 = 28,644.66 : x
  2. Step 2: Convert to fraction form
    81,242.82/121,877.19 = 28,644.66/x
  3. Step 3: Cross multiply
    81,242.82x = 121,877.19 × 28,644.66
  4. Step 4: Simplify right side
    81,242.82x = 3,491,130,669.31
  5. Step 5: Solve for x
    x = 3,491,130,669.31/81,242.82
  6. Step 6: Final answer
    x = 42,971.56

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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.