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Finding the Fourth Proportional to 261,971, 361,520 and 142,739

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Solution

The fourth proportional to 261,971, 361,520 and 142,739 is: 196,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,971 : 361,520 = 142,739 : x
  2. Step 2: Convert to fraction form
    261,971/361,520 = 142,739/x
  3. Step 3: Cross multiply
    261,971x = 361,520 × 142,739
  4. Step 4: Simplify right side
    261,971x = 51,603,003,280
  5. Step 5: Solve for x
    x = 51,603,003,280/261,971
  6. Step 6: Final answer
    x = 196,979.83

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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.