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Finding the Fourth Proportional to 261,837, 361,335.06 and 142,605

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Solution

The fourth proportional to 261,837, 361,335.06 and 142,605 is: 196,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,837 : 361,335.06 = 142,605 : x
  2. Step 2: Convert to fraction form
    261,837/361,335.06 = 142,605/x
  3. Step 3: Cross multiply
    261,837x = 361,335.06 × 142,605
  4. Step 4: Simplify right side
    261,837x = 51,528,186,231.30
  5. Step 5: Solve for x
    x = 51,528,186,231.30/261,837
  6. Step 6: Final answer
    x = 196,794.90

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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.