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Finding the Fourth Proportional to 180,387.49, 270,505.11 and 54,045.70

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Solution

The fourth proportional to 180,387.49, 270,505.11 and 54,045.70 is: 81,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,387.49 : 270,505.11 = 54,045.70 : x
  2. Step 2: Convert to fraction form
    180,387.49/270,505.11 = 54,045.70/x
  3. Step 3: Cross multiply
    180,387.49x = 270,505.11 × 54,045.70
  4. Step 4: Simplify right side
    180,387.49x = 14,619,637,397.93
  5. Step 5: Solve for x
    x = 14,619,637,397.93/180,387.49
  6. Step 6: Final answer
    x = 81,045.74

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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.