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Finding the Fourth Proportional to 180,478.98, 270,756.12 and 54,114.12

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Solution

The fourth proportional to 180,478.98, 270,756.12 and 54,114.12 is: 81,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,478.98 : 270,756.12 = 54,114.12 : x
  2. Step 2: Convert to fraction form
    180,478.98/270,756.12 = 54,114.12/x
  3. Step 3: Cross multiply
    180,478.98x = 270,756.12 × 54,114.12
  4. Step 4: Simplify right side
    180,478.98x = 14,651,729,168.41
  5. Step 5: Solve for x
    x = 14,651,729,168.41/180,478.98
  6. Step 6: Final answer
    x = 81,182.47

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1.5x scale

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.