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Finding the Fourth Proportional to 202,100.79, 278,919.90 and 128,564.22

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Solution

The fourth proportional to 202,100.79, 278,919.90 and 128,564.22 is: 177,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,100.79 : 278,919.90 = 128,564.22 : x
  2. Step 2: Convert to fraction form
    202,100.79/278,919.90 = 128,564.22/x
  3. Step 3: Cross multiply
    202,100.79x = 278,919.90 × 128,564.22
  4. Step 4: Simplify right side
    202,100.79x = 35,859,119,385.98
  5. Step 5: Solve for x
    x = 35,859,119,385.98/202,100.79
  6. Step 6: Final answer
    x = 177,431.86

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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.