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Finding the Fourth Proportional to 70,870.88, 106,233.36 and 31,446.56

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Solution

The fourth proportional to 70,870.88, 106,233.36 and 31,446.56 is: 47,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,870.88 : 106,233.36 = 31,446.56 : x
  2. Step 2: Convert to fraction form
    70,870.88/106,233.36 = 31,446.56/x
  3. Step 3: Cross multiply
    70,870.88x = 106,233.36 × 31,446.56
  4. Step 4: Simplify right side
    70,870.88x = 3,340,673,729.24
  5. Step 5: Solve for x
    x = 3,340,673,729.24/70,870.88
  6. Step 6: Final answer
    x = 47,137.47

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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.