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Finding the Fourth Proportional to 180,434.67, 270,473.40 and 85,497

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Solution

The fourth proportional to 180,434.67, 270,473.40 and 85,497 is: 128,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,434.67 : 270,473.40 = 85,497 : x
  2. Step 2: Convert to fraction form
    180,434.67/270,473.40 = 85,497/x
  3. Step 3: Cross multiply
    180,434.67x = 270,473.40 × 85,497
  4. Step 4: Simplify right side
    180,434.67x = 23,124,664,279.80
  5. Step 5: Solve for x
    x = 23,124,664,279.80/180,434.67
  6. Step 6: Final answer
    x = 128,160.87

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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.