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Finding the Fourth Proportional to 61,512.16, 92,209.92 and 19,930

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Solution

The fourth proportional to 61,512.16, 92,209.92 and 19,930 is: 29,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,512.16 : 92,209.92 = 19,930 : x
  2. Step 2: Convert to fraction form
    61,512.16/92,209.92 = 19,930/x
  3. Step 3: Cross multiply
    61,512.16x = 92,209.92 × 19,930
  4. Step 4: Simplify right side
    61,512.16x = 1,837,743,705.60
  5. Step 5: Solve for x
    x = 1,837,743,705.60/61,512.16
  6. Step 6: Final answer
    x = 29,876.10

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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.