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Finding the Fourth Proportional to 70,815.64, 106,174.25 and 31,351.22

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Solution

The fourth proportional to 70,815.64, 106,174.25 and 31,351.22 is: 47,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,815.64 : 106,174.25 = 31,351.22 : x
  2. Step 2: Convert to fraction form
    70,815.64/106,174.25 = 31,351.22/x
  3. Step 3: Cross multiply
    70,815.64x = 106,174.25 × 31,351.22
  4. Step 4: Simplify right side
    70,815.64x = 3,328,692,113.33
  5. Step 5: Solve for x
    x = 3,328,692,113.33/70,815.64
  6. Step 6: Final answer
    x = 47,005.05

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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.