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Finding the Fourth Proportional to 187,658.64, 281,506.40 and 54,540

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Solution

The fourth proportional to 187,658.64, 281,506.40 and 54,540 is: 81,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,658.64 : 281,506.40 = 54,540 : x
  2. Step 2: Convert to fraction form
    187,658.64/281,506.40 = 54,540/x
  3. Step 3: Cross multiply
    187,658.64x = 281,506.40 × 54,540
  4. Step 4: Simplify right side
    187,658.64x = 15,353,359,056.00
  5. Step 5: Solve for x
    x = 15,353,359,056.00/187,658.64
  6. Step 6: Final answer
    x = 81,815.36

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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.