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Finding the Fourth Proportional to 180,684.60, 271,040.88 and 54,315

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Solution

The fourth proportional to 180,684.60, 271,040.88 and 54,315 is: 81,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,684.60 : 271,040.88 = 54,315 : x
  2. Step 2: Convert to fraction form
    180,684.60/271,040.88 = 54,315/x
  3. Step 3: Cross multiply
    180,684.60x = 271,040.88 × 54,315
  4. Step 4: Simplify right side
    180,684.60x = 14,721,585,397.20
  5. Step 5: Solve for x
    x = 14,721,585,397.20/180,684.60
  6. Step 6: Final answer
    x = 81,476.70

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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.