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Finding the Fourth Proportional to 70,883.46, 106,310.55 and 31,415.40

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Solution

The fourth proportional to 70,883.46, 106,310.55 and 31,415.40 is: 47,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,883.46 : 106,310.55 = 31,415.40 : x
  2. Step 2: Convert to fraction form
    70,883.46/106,310.55 = 31,415.40/x
  3. Step 3: Cross multiply
    70,883.46x = 106,310.55 × 31,415.40
  4. Step 4: Simplify right side
    70,883.46x = 3,339,788,452.47
  5. Step 5: Solve for x
    x = 3,339,788,452.47/70,883.46
  6. Step 6: Final answer
    x = 47,116.61

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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.