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Finding the Fourth Proportional to 70,907.92, 106,367.82 and 18,318.40

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Solution

The fourth proportional to 70,907.92, 106,367.82 and 18,318.40 is: 27,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.92 : 106,367.82 = 18,318.40 : x
  2. Step 2: Convert to fraction form
    70,907.92/106,367.82 = 18,318.40/x
  3. Step 3: Cross multiply
    70,907.92x = 106,367.82 × 18,318.40
  4. Step 4: Simplify right side
    70,907.92x = 1,948,488,273.89
  5. Step 5: Solve for x
    x = 1,948,488,273.89/70,907.92
  6. Step 6: Final answer
    x = 27,479.13

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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.