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Finding the Fourth Proportional to 202,098.79, 278,917.14 and 128,562.22

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Solution

The fourth proportional to 202,098.79, 278,917.14 and 128,562.22 is: 177,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,098.79 : 278,917.14 = 128,562.22 : x
  2. Step 2: Convert to fraction form
    202,098.79/278,917.14 = 128,562.22/x
  3. Step 3: Cross multiply
    202,098.79x = 278,917.14 × 128,562.22
  4. Step 4: Simplify right side
    202,098.79x = 35,858,206,714.45
  5. Step 5: Solve for x
    x = 35,858,206,714.45/202,098.79
  6. Step 6: Final answer
    x = 177,429.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.