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Finding the Fourth Proportional to 180,002.70, 248,414.67 and 103,545.90

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Solution

The fourth proportional to 180,002.70, 248,414.67 and 103,545.90 is: 142,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,002.70 : 248,414.67 = 103,545.90 : x
  2. Step 2: Convert to fraction form
    180,002.70/248,414.67 = 103,545.90/x
  3. Step 3: Cross multiply
    180,002.70x = 248,414.67 × 103,545.90
  4. Step 4: Simplify right side
    180,002.70x = 25,722,320,578.35
  5. Step 5: Solve for x
    x = 25,722,320,578.35/180,002.70
  6. Step 6: Final answer
    x = 142,899.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.