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Finding the Fourth Proportional to 70,807.20, 106,186.32 and 31,391.88

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Solution

The fourth proportional to 70,807.20, 106,186.32 and 31,391.88 is: 47,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,807.20 : 106,186.32 = 31,391.88 : x
  2. Step 2: Convert to fraction form
    70,807.20/106,186.32 = 31,391.88/x
  3. Step 3: Cross multiply
    70,807.20x = 106,186.32 × 31,391.88
  4. Step 4: Simplify right side
    70,807.20x = 3,333,388,215.08
  5. Step 5: Solve for x
    x = 3,333,388,215.08/70,807.20
  6. Step 6: Final answer
    x = 47,076.97

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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.