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Finding the Fourth Proportional to 261,856, 361,361.28 and 142,624

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Solution

The fourth proportional to 261,856, 361,361.28 and 142,624 is: 196,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,856 : 361,361.28 = 142,624 : x
  2. Step 2: Convert to fraction form
    261,856/361,361.28 = 142,624/x
  3. Step 3: Cross multiply
    261,856x = 361,361.28 × 142,624
  4. Step 4: Simplify right side
    261,856x = 51,538,791,198.72
  5. Step 5: Solve for x
    x = 51,538,791,198.72/261,856
  6. Step 6: Final answer
    x = 196,821.12

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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.