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Finding the Fourth Proportional to 61,675.68, 92,514 and 20,122.80

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Solution

The fourth proportional to 61,675.68, 92,514 and 20,122.80 is: 30,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,675.68 : 92,514 = 20,122.80 : x
  2. Step 2: Convert to fraction form
    61,675.68/92,514 = 20,122.80/x
  3. Step 3: Cross multiply
    61,675.68x = 92,514 × 20,122.80
  4. Step 4: Simplify right side
    61,675.68x = 1,861,640,719.20
  5. Step 5: Solve for x
    x = 1,861,640,719.20/61,675.68
  6. Step 6: Final answer
    x = 30,184.36

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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.