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Finding the Fourth Proportional to 83,989.71, 125,983.02 and 20,809.98

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Solution

The fourth proportional to 83,989.71, 125,983.02 and 20,809.98 is: 31,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989.71 : 125,983.02 = 20,809.98 : x
  2. Step 2: Convert to fraction form
    83,989.71/125,983.02 = 20,809.98/x
  3. Step 3: Cross multiply
    83,989.71x = 125,983.02 × 20,809.98
  4. Step 4: Simplify right side
    83,989.71x = 2,621,704,126.54
  5. Step 5: Solve for x
    x = 2,621,704,126.54/83,989.71
  6. Step 6: Final answer
    x = 31,214.59

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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.