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Finding the Fourth Proportional to 261,966, 361,513.08 and 142,734

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Solution

The fourth proportional to 261,966, 361,513.08 and 142,734 is: 196,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,966 : 361,513.08 = 142,734 : x
  2. Step 2: Convert to fraction form
    261,966/361,513.08 = 142,734/x
  3. Step 3: Cross multiply
    261,966x = 361,513.08 × 142,734
  4. Step 4: Simplify right side
    261,966x = 51,600,207,960.72
  5. Step 5: Solve for x
    x = 51,600,207,960.72/261,966
  6. Step 6: Final answer
    x = 196,972.92

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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.