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Finding the Fourth Proportional to 202,915.33, 280,023.48 and 112,275.11

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Solution

The fourth proportional to 202,915.33, 280,023.48 and 112,275.11 is: 154,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,915.33 : 280,023.48 = 112,275.11 : x
  2. Step 2: Convert to fraction form
    202,915.33/280,023.48 = 112,275.11/x
  3. Step 3: Cross multiply
    202,915.33x = 280,023.48 × 112,275.11
  4. Step 4: Simplify right side
    202,915.33x = 31,439,667,719.64
  5. Step 5: Solve for x
    x = 31,439,667,719.64/202,915.33
  6. Step 6: Final answer
    x = 154,939.84

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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.