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Finding the Fourth Proportional to 180,129.54, 270,198.93 and 85,337.52

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Solution

The fourth proportional to 180,129.54, 270,198.93 and 85,337.52 is: 128,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,129.54 : 270,198.93 = 85,337.52 : x
  2. Step 2: Convert to fraction form
    180,129.54/270,198.93 = 85,337.52/x
  3. Step 3: Cross multiply
    180,129.54x = 270,198.93 × 85,337.52
  4. Step 4: Simplify right side
    180,129.54x = 23,058,106,592.85
  5. Step 5: Solve for x
    x = 23,058,106,592.85/180,129.54
  6. Step 6: Final answer
    x = 128,008.47

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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.