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Finding the Fourth Proportional to 139,633.71, 192,691.62 and 75,971.76

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Solution

The fourth proportional to 139,633.71, 192,691.62 and 75,971.76 is: 104,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,633.71 : 192,691.62 = 75,971.76 : x
  2. Step 2: Convert to fraction form
    139,633.71/192,691.62 = 75,971.76/x
  3. Step 3: Cross multiply
    139,633.71x = 192,691.62 × 75,971.76
  4. Step 4: Simplify right side
    139,633.71x = 14,639,121,508.65
  5. Step 5: Solve for x
    x = 14,639,121,508.65/139,633.71
  6. Step 6: Final answer
    x = 104,839.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.