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Finding the Fourth Proportional to 202,021.60, 303,008.10 and 83,680.60

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Solution

The fourth proportional to 202,021.60, 303,008.10 and 83,680.60 is: 125,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,021.60 : 303,008.10 = 83,680.60 : x
  2. Step 2: Convert to fraction form
    202,021.60/303,008.10 = 83,680.60/x
  3. Step 3: Cross multiply
    202,021.60x = 303,008.10 × 83,680.60
  4. Step 4: Simplify right side
    202,021.60x = 25,355,899,612.86
  5. Step 5: Solve for x
    x = 25,355,899,612.86/202,021.60
  6. Step 6: Final answer
    x = 125,510.83

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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.