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Finding the Fourth Proportional to 83,492.88, 125,243.64 and 21,163.92

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Solution

The fourth proportional to 83,492.88, 125,243.64 and 21,163.92 is: 31,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,492.88 : 125,243.64 = 21,163.92 : x
  2. Step 2: Convert to fraction form
    83,492.88/125,243.64 = 21,163.92/x
  3. Step 3: Cross multiply
    83,492.88x = 125,243.64 × 21,163.92
  4. Step 4: Simplify right side
    83,492.88x = 2,650,646,377.47
  5. Step 5: Solve for x
    x = 2,650,646,377.47/83,492.88
  6. Step 6: Final answer
    x = 31,746.98

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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.