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Finding the Fourth Proportional to 295,141.40, 442,662.56 and 81,930.98

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Solution

The fourth proportional to 295,141.40, 442,662.56 and 81,930.98 is: 122,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,141.40 : 442,662.56 = 81,930.98 : x
  2. Step 2: Convert to fraction form
    295,141.40/442,662.56 = 81,930.98/x
  3. Step 3: Cross multiply
    295,141.40x = 442,662.56 × 81,930.98
  4. Step 4: Simplify right side
    295,141.40x = 36,267,777,350.11
  5. Step 5: Solve for x
    x = 36,267,777,350.11/295,141.40
  6. Step 6: Final answer
    x = 122,882.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.