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Finding the Fourth Proportional to 106,266.42, 159,401 and 31,387.64

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Solution

The fourth proportional to 106,266.42, 159,401 and 31,387.64 is: 47,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,266.42 : 159,401 = 31,387.64 : x
  2. Step 2: Convert to fraction form
    106,266.42/159,401 = 31,387.64/x
  3. Step 3: Cross multiply
    106,266.42x = 159,401 × 31,387.64
  4. Step 4: Simplify right side
    106,266.42x = 5,003,221,203.64
  5. Step 5: Solve for x
    x = 5,003,221,203.64/106,266.42
  6. Step 6: Final answer
    x = 47,081.86

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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.