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Finding the Fourth Proportional to 202,841.28, 279,915.70 and 112,195

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Solution

The fourth proportional to 202,841.28, 279,915.70 and 112,195 is: 154,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,841.28 : 279,915.70 = 112,195 : x
  2. Step 2: Convert to fraction form
    202,841.28/279,915.70 = 112,195/x
  3. Step 3: Cross multiply
    202,841.28x = 279,915.70 × 112,195
  4. Step 4: Simplify right side
    202,841.28x = 31,405,141,961.50
  5. Step 5: Solve for x
    x = 31,405,141,961.50/202,841.28
  6. Step 6: Final answer
    x = 154,826.19

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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.