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Finding the Fourth Proportional to 202,001.78, 303,015.12 and 83,682.38

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Solution

The fourth proportional to 202,001.78, 303,015.12 and 83,682.38 is: 125,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,001.78 : 303,015.12 = 83,682.38 : x
  2. Step 2: Convert to fraction form
    202,001.78/303,015.12 = 83,682.38/x
  3. Step 3: Cross multiply
    202,001.78x = 303,015.12 × 83,682.38
  4. Step 4: Simplify right side
    202,001.78x = 25,357,026,417.59
  5. Step 5: Solve for x
    x = 25,357,026,417.59/202,001.78
  6. Step 6: Final answer
    x = 125,528.73

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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.