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Finding the Fourth Proportional to 202,218.80, 303,218.85 and 83,902.10

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Solution

The fourth proportional to 202,218.80, 303,218.85 and 83,902.10 is: 125,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,218.80 : 303,218.85 = 83,902.10 : x
  2. Step 2: Convert to fraction form
    202,218.80/303,218.85 = 83,902.10/x
  3. Step 3: Cross multiply
    202,218.80x = 303,218.85 × 83,902.10
  4. Step 4: Simplify right side
    202,218.80x = 25,440,698,274.59
  5. Step 5: Solve for x
    x = 25,440,698,274.59/202,218.80
  6. Step 6: Final answer
    x = 125,807.78

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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.