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Finding the Fourth Proportional to 61,940.23, 85,512.98 and 40,781

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Solution

The fourth proportional to 61,940.23, 85,512.98 and 40,781 is: 56,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,940.23 : 85,512.98 = 40,781 : x
  2. Step 2: Convert to fraction form
    61,940.23/85,512.98 = 40,781/x
  3. Step 3: Cross multiply
    61,940.23x = 85,512.98 × 40,781
  4. Step 4: Simplify right side
    61,940.23x = 3,487,304,837.38
  5. Step 5: Solve for x
    x = 3,487,304,837.38/61,940.23
  6. Step 6: Final answer
    x = 56,301.13

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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.