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Finding the Fourth Proportional to 70,872.78, 106,248.84 and 31,408.38

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Solution

The fourth proportional to 70,872.78, 106,248.84 and 31,408.38 is: 47,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.78 : 106,248.84 = 31,408.38 : x
  2. Step 2: Convert to fraction form
    70,872.78/106,248.84 = 31,408.38/x
  3. Step 3: Cross multiply
    70,872.78x = 106,248.84 × 31,408.38
  4. Step 4: Simplify right side
    70,872.78x = 3,337,103,941.28
  5. Step 5: Solve for x
    x = 3,337,103,941.28/70,872.78
  6. Step 6: Final answer
    x = 47,085.83

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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.