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Finding the Fourth Proportional to 261,924, 361,455.12 and 142,692

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Solution

The fourth proportional to 261,924, 361,455.12 and 142,692 is: 196,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,924 : 361,455.12 = 142,692 : x
  2. Step 2: Convert to fraction form
    261,924/361,455.12 = 142,692/x
  3. Step 3: Cross multiply
    261,924x = 361,455.12 × 142,692
  4. Step 4: Simplify right side
    261,924x = 51,576,753,983.04
  5. Step 5: Solve for x
    x = 51,576,753,983.04/261,924
  6. Step 6: Final answer
    x = 196,914.96

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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.