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Finding the Fourth Proportional to 261,819.82, 361,311.34 and 142,587.82

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Solution

The fourth proportional to 261,819.82, 361,311.34 and 142,587.82 is: 196,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,819.82 : 361,311.34 = 142,587.82 : x
  2. Step 2: Convert to fraction form
    261,819.82/361,311.34 = 142,587.82/x
  3. Step 3: Cross multiply
    261,819.82x = 361,311.34 × 142,587.82
  4. Step 4: Simplify right side
    261,819.82x = 51,518,596,311.88
  5. Step 5: Solve for x
    x = 51,518,596,311.88/261,819.82
  6. Step 6: Final answer
    x = 196,771.19

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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.