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Finding the Fourth Proportional to 61,695.13, 92,542.70 and 20,142.13

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Solution

The fourth proportional to 61,695.13, 92,542.70 and 20,142.13 is: 30,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,695.13 : 92,542.70 = 20,142.13 : x
  2. Step 2: Convert to fraction form
    61,695.13/92,542.70 = 20,142.13/x
  3. Step 3: Cross multiply
    61,695.13x = 92,542.70 × 20,142.13
  4. Step 4: Simplify right side
    61,695.13x = 1,864,007,093.95
  5. Step 5: Solve for x
    x = 1,864,007,093.95/61,695.13
  6. Step 6: Final answer
    x = 30,213.20

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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.