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Finding the Fourth Proportional to 83,709.87, 125,510.28 and 30,391.82

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Solution

The fourth proportional to 83,709.87, 125,510.28 and 30,391.82 is: 45,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,709.87 : 125,510.28 = 30,391.82 : x
  2. Step 2: Convert to fraction form
    83,709.87/125,510.28 = 30,391.82/x
  3. Step 3: Cross multiply
    83,709.87x = 125,510.28 × 30,391.82
  4. Step 4: Simplify right side
    83,709.87x = 3,814,485,567.05
  5. Step 5: Solve for x
    x = 3,814,485,567.05/83,709.87
  6. Step 6: Final answer
    x = 45,567.93

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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.