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Finding the Fourth Proportional to 70,860.32, 106,217.56 and 31,436

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Solution

The fourth proportional to 70,860.32, 106,217.56 and 31,436 is: 47,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,860.32 : 106,217.56 = 31,436 : x
  2. Step 2: Convert to fraction form
    70,860.32/106,217.56 = 31,436/x
  3. Step 3: Cross multiply
    70,860.32x = 106,217.56 × 31,436
  4. Step 4: Simplify right side
    70,860.32x = 3,339,055,216.16
  5. Step 5: Solve for x
    x = 3,339,055,216.16/70,860.32
  6. Step 6: Final answer
    x = 47,121.65

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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.