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Finding the Fourth Proportional to 187,180, 280,690.08 and 108,348.64

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Solution

The fourth proportional to 187,180, 280,690.08 and 108,348.64 is: 162,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,180 : 280,690.08 = 108,348.64 : x
  2. Step 2: Convert to fraction form
    187,180/280,690.08 = 108,348.64/x
  3. Step 3: Cross multiply
    187,180x = 280,690.08 × 108,348.64
  4. Step 4: Simplify right side
    187,180x = 30,412,388,429.49
  5. Step 5: Solve for x
    x = 30,412,388,429.49/187,180
  6. Step 6: Final answer
    x = 162,476.70

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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.