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Finding the Fourth Proportional to 180,400.44, 270,595.07 and 85,698.78

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Solution

The fourth proportional to 180,400.44, 270,595.07 and 85,698.78 is: 128,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,400.44 : 270,595.07 = 85,698.78 : x
  2. Step 2: Convert to fraction form
    180,400.44/270,595.07 = 85,698.78/x
  3. Step 3: Cross multiply
    180,400.44x = 270,595.07 × 85,698.78
  4. Step 4: Simplify right side
    180,400.44x = 23,189,667,373.01
  5. Step 5: Solve for x
    x = 23,189,667,373.01/180,400.44
  6. Step 6: Final answer
    x = 128,545.52

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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.