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Finding the Fourth Proportional to 262,142.34, 361,752.97 and 147,420.95

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Solution

The fourth proportional to 262,142.34, 361,752.97 and 147,420.95 is: 203,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,142.34 : 361,752.97 = 147,420.95 : x
  2. Step 2: Convert to fraction form
    262,142.34/361,752.97 = 147,420.95/x
  3. Step 3: Cross multiply
    262,142.34x = 361,752.97 × 147,420.95
  4. Step 4: Simplify right side
    262,142.34x = 53,329,965,765.62
  5. Step 5: Solve for x
    x = 53,329,965,765.62/262,142.34
  6. Step 6: Final answer
    x = 203,438.96

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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.