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Finding the Fourth Proportional to 61,902.72, 92,819.22 and 19,772.90

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Solution

The fourth proportional to 61,902.72, 92,819.22 and 19,772.90 is: 29,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,902.72 : 92,819.22 = 19,772.90 : x
  2. Step 2: Convert to fraction form
    61,902.72/92,819.22 = 19,772.90/x
  3. Step 3: Cross multiply
    61,902.72x = 92,819.22 × 19,772.90
  4. Step 4: Simplify right side
    61,902.72x = 1,835,305,155.14
  5. Step 5: Solve for x
    x = 1,835,305,155.14/61,902.72
  6. Step 6: Final answer
    x = 29,648.22

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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.