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Finding the Fourth Proportional to 172,115.56, 257,988.76 and 83,246.82

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Solution

The fourth proportional to 172,115.56, 257,988.76 and 83,246.82 is: 124,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,115.56 : 257,988.76 = 83,246.82 : x
  2. Step 2: Convert to fraction form
    172,115.56/257,988.76 = 83,246.82/x
  3. Step 3: Cross multiply
    172,115.56x = 257,988.76 × 83,246.82
  4. Step 4: Simplify right side
    172,115.56x = 21,476,743,158.43
  5. Step 5: Solve for x
    x = 21,476,743,158.43/172,115.56
  6. Step 6: Final answer
    x = 124,780.95

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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.