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Finding the Fourth Proportional to 106,393.47, 159,613.55 and 31,519.47

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Solution

The fourth proportional to 106,393.47, 159,613.55 and 31,519.47 is: 47,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.47 : 159,613.55 = 31,519.47 : x
  2. Step 2: Convert to fraction form
    106,393.47/159,613.55 = 31,519.47/x
  3. Step 3: Cross multiply
    106,393.47x = 159,613.55 × 31,519.47
  4. Step 4: Simplify right side
    106,393.47x = 5,030,933,744.67
  5. Step 5: Solve for x
    x = 5,030,933,744.67/106,393.47
  6. Step 6: Final answer
    x = 47,286.11

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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.