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Finding the Fourth Proportional to 83,886, 125,829 and 21,556.50

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Solution

The fourth proportional to 83,886, 125,829 and 21,556.50 is: 32,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886 : 125,829 = 21,556.50 : x
  2. Step 2: Convert to fraction form
    83,886/125,829 = 21,556.50/x
  3. Step 3: Cross multiply
    83,886x = 125,829 × 21,556.50
  4. Step 4: Simplify right side
    83,886x = 2,712,432,838.50
  5. Step 5: Solve for x
    x = 2,712,432,838.50/83,886
  6. Step 6: Final answer
    x = 32,334.75

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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.