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Finding the Fourth Proportional to 161,945.20, 242,820.60 and 83,213.20

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Solution

The fourth proportional to 161,945.20, 242,820.60 and 83,213.20 is: 124,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,945.20 : 242,820.60 = 83,213.20 : x
  2. Step 2: Convert to fraction form
    161,945.20/242,820.60 = 83,213.20/x
  3. Step 3: Cross multiply
    161,945.20x = 242,820.60 × 83,213.20
  4. Step 4: Simplify right side
    161,945.20x = 20,205,879,151.92
  5. Step 5: Solve for x
    x = 20,205,879,151.92/161,945.20
  6. Step 6: Final answer
    x = 124,769.86

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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.