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Finding the Fourth Proportional to 83,121.76, 124,682.64 and 20,792.26

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Solution

The fourth proportional to 83,121.76, 124,682.64 and 20,792.26 is: 31,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,121.76 : 124,682.64 = 20,792.26 : x
  2. Step 2: Convert to fraction form
    83,121.76/124,682.64 = 20,792.26/x
  3. Step 3: Cross multiply
    83,121.76x = 124,682.64 × 20,792.26
  4. Step 4: Simplify right side
    83,121.76x = 2,592,433,868.37
  5. Step 5: Solve for x
    x = 2,592,433,868.37/83,121.76
  6. Step 6: Final answer
    x = 31,188.39

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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.