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Finding the Fourth Proportional to 262,092, 361,687.20 and 142,860

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Solution

The fourth proportional to 262,092, 361,687.20 and 142,860 is: 197,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,092 : 361,687.20 = 142,860 : x
  2. Step 2: Convert to fraction form
    262,092/361,687.20 = 142,860/x
  3. Step 3: Cross multiply
    262,092x = 361,687.20 × 142,860
  4. Step 4: Simplify right side
    262,092x = 51,670,633,392
  5. Step 5: Solve for x
    x = 51,670,633,392/262,092
  6. Step 6: Final answer
    x = 197,146.93

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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.