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Finding the Fourth Proportional to 187,659.64, 281,507.90 and 54,541

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Solution

The fourth proportional to 187,659.64, 281,507.90 and 54,541 is: 81,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,659.64 : 281,507.90 = 54,541 : x
  2. Step 2: Convert to fraction form
    187,659.64/281,507.90 = 54,541/x
  3. Step 3: Cross multiply
    187,659.64x = 281,507.90 × 54,541
  4. Step 4: Simplify right side
    187,659.64x = 15,353,722,373.90
  5. Step 5: Solve for x
    x = 15,353,722,373.90/187,659.64
  6. Step 6: Final answer
    x = 81,816.86

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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.