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Finding the Fourth Proportional to 180,142.16, 270,245.88 and 55,454

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Solution

The fourth proportional to 180,142.16, 270,245.88 and 55,454 is: 83,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,142.16 : 270,245.88 = 55,454 : x
  2. Step 2: Convert to fraction form
    180,142.16/270,245.88 = 55,454/x
  3. Step 3: Cross multiply
    180,142.16x = 270,245.88 × 55,454
  4. Step 4: Simplify right side
    180,142.16x = 14,986,215,029.52
  5. Step 5: Solve for x
    x = 14,986,215,029.52/180,142.16
  6. Step 6: Final answer
    x = 83,191.05

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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.