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Finding the Fourth Proportional to 261,427, 360,769.58 and 142,195

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Solution

The fourth proportional to 261,427, 360,769.58 and 142,195 is: 196,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,427 : 360,769.58 = 142,195 : x
  2. Step 2: Convert to fraction form
    261,427/360,769.58 = 142,195/x
  3. Step 3: Cross multiply
    261,427x = 360,769.58 × 142,195
  4. Step 4: Simplify right side
    261,427x = 51,299,630,428.10
  5. Step 5: Solve for x
    x = 51,299,630,428.10/261,427
  6. Step 6: Final answer
    x = 196,229.27

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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.