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Finding the Fourth Proportional to 60,181.98, 82,990.23 and 40,013.02

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Solution

The fourth proportional to 60,181.98, 82,990.23 and 40,013.02 is: 55,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,181.98 : 82,990.23 = 40,013.02 : x
  2. Step 2: Convert to fraction form
    60,181.98/82,990.23 = 40,013.02/x
  3. Step 3: Cross multiply
    60,181.98x = 82,990.23 × 40,013.02
  4. Step 4: Simplify right side
    60,181.98x = 3,320,689,732.79
  5. Step 5: Solve for x
    x = 3,320,689,732.79/60,181.98
  6. Step 6: Final answer
    x = 55,177.48

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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.