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Finding the Fourth Proportional to 82,409.60, 123,486.52 and 57,158.41

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Solution

The fourth proportional to 82,409.60, 123,486.52 and 57,158.41 is: 85,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,409.60 : 123,486.52 = 57,158.41 : x
  2. Step 2: Convert to fraction form
    82,409.60/123,486.52 = 57,158.41/x
  3. Step 3: Cross multiply
    82,409.60x = 123,486.52 × 57,158.41
  4. Step 4: Simplify right side
    82,409.60x = 7,058,292,236.41
  5. Step 5: Solve for x
    x = 7,058,292,236.41/82,409.60
  6. Step 6: Final answer
    x = 85,648.91

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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.