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Finding the Fourth Proportional to 180,194.60, 270,061.86 and 85,424.60

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Solution

The fourth proportional to 180,194.60, 270,061.86 and 85,424.60 is: 128,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,194.60 : 270,061.86 = 85,424.60 : x
  2. Step 2: Convert to fraction form
    180,194.60/270,061.86 = 85,424.60/x
  3. Step 3: Cross multiply
    180,194.60x = 270,061.86 × 85,424.60
  4. Step 4: Simplify right side
    180,194.60x = 23,069,926,365.76
  5. Step 5: Solve for x
    x = 23,069,926,365.76/180,194.60
  6. Step 6: Final answer
    x = 128,027.85

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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.