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Finding the Fourth Proportional to 187,899.41, 281,473.62 and 112,978.56

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Solution

The fourth proportional to 187,899.41, 281,473.62 and 112,978.56 is: 169,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,899.41 : 281,473.62 = 112,978.56 : x
  2. Step 2: Convert to fraction form
    187,899.41/281,473.62 = 112,978.56/x
  3. Step 3: Cross multiply
    187,899.41x = 281,473.62 × 112,978.56
  4. Step 4: Simplify right side
    187,899.41x = 31,800,484,265.59
  5. Step 5: Solve for x
    x = 31,800,484,265.59/187,899.41
  6. Step 6: Final answer
    x = 169,242.07

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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.