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Finding the Fourth Proportional to 202,097.79, 278,915.76 and 128,561.22

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Solution

The fourth proportional to 202,097.79, 278,915.76 and 128,561.22 is: 177,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097.79 : 278,915.76 = 128,561.22 : x
  2. Step 2: Convert to fraction form
    202,097.79/278,915.76 = 128,561.22/x
  3. Step 3: Cross multiply
    202,097.79x = 278,915.76 × 128,561.22
  4. Step 4: Simplify right side
    202,097.79x = 35,857,750,382.83
  5. Step 5: Solve for x
    x = 35,857,750,382.83/202,097.79
  6. Step 6: Final answer
    x = 177,427.72

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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.