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Finding the Fourth Proportional to 172,233.12, 257,974.64 and 83,299.04

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Solution

The fourth proportional to 172,233.12, 257,974.64 and 83,299.04 is: 124,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,233.12 : 257,974.64 = 83,299.04 : x
  2. Step 2: Convert to fraction form
    172,233.12/257,974.64 = 83,299.04/x
  3. Step 3: Cross multiply
    172,233.12x = 257,974.64 × 83,299.04
  4. Step 4: Simplify right side
    172,233.12x = 21,489,039,856.35
  5. Step 5: Solve for x
    x = 21,489,039,856.35/172,233.12
  6. Step 6: Final answer
    x = 124,767.18

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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.