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Finding the Fourth Proportional to 81,990.78, 122,933.51 and 34,592.90

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Solution

The fourth proportional to 81,990.78, 122,933.51 and 34,592.90 is: 51,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,990.78 : 122,933.51 = 34,592.90 : x
  2. Step 2: Convert to fraction form
    81,990.78/122,933.51 = 34,592.90/x
  3. Step 3: Cross multiply
    81,990.78x = 122,933.51 × 34,592.90
  4. Step 4: Simplify right side
    81,990.78x = 4,252,626,618.08
  5. Step 5: Solve for x
    x = 4,252,626,618.08/81,990.78
  6. Step 6: Final answer
    x = 51,867.13

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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.