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Finding the Fourth Proportional to 70,874.33, 106,348.56 and 45,907.91

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Solution

The fourth proportional to 70,874.33, 106,348.56 and 45,907.91 is: 68,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,874.33 : 106,348.56 = 45,907.91 : x
  2. Step 2: Convert to fraction form
    70,874.33/106,348.56 = 45,907.91/x
  3. Step 3: Cross multiply
    70,874.33x = 106,348.56 × 45,907.91
  4. Step 4: Simplify right side
    70,874.33x = 4,882,240,121.11
  5. Step 5: Solve for x
    x = 4,882,240,121.11/70,874.33
  6. Step 6: Final answer
    x = 68,885.87

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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.