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Finding the Fourth Proportional to 187,290, 280,935.27 and 76,482

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Solution

The fourth proportional to 187,290, 280,935.27 and 76,482 is: 114,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,290 : 280,935.27 = 76,482 : x
  2. Step 2: Convert to fraction form
    187,290/280,935.27 = 76,482/x
  3. Step 3: Cross multiply
    187,290x = 280,935.27 × 76,482
  4. Step 4: Simplify right side
    187,290x = 21,486,491,320.14
  5. Step 5: Solve for x
    x = 21,486,491,320.14/187,290
  6. Step 6: Final answer
    x = 114,723.11

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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.