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Finding the Fourth Proportional to 261,834, 361,330.92 and 142,602

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Solution

The fourth proportional to 261,834, 361,330.92 and 142,602 is: 196,790.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,834 : 361,330.92 = 142,602 : x
  2. Step 2: Convert to fraction form
    261,834/361,330.92 = 142,602/x
  3. Step 3: Cross multiply
    261,834x = 361,330.92 × 142,602
  4. Step 4: Simplify right side
    261,834x = 51,526,511,853.84
  5. Step 5: Solve for x
    x = 51,526,511,853.84/261,834
  6. Step 6: Final answer
    x = 196,790.76

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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.