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Finding the Fourth Proportional to 83,486.86, 125,171.97 and 30,889.51

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Solution

The fourth proportional to 83,486.86, 125,171.97 and 30,889.51 is: 46,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,486.86 : 125,171.97 = 30,889.51 : x
  2. Step 2: Convert to fraction form
    83,486.86/125,171.97 = 30,889.51/x
  3. Step 3: Cross multiply
    83,486.86x = 125,171.97 × 30,889.51
  4. Step 4: Simplify right side
    83,486.86x = 3,866,500,819.03
  5. Step 5: Solve for x
    x = 3,866,500,819.03/83,486.86
  6. Step 6: Final answer
    x = 46,312.69

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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.