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Finding the Fourth Proportional to 83,901, 125,868.78 and 34,653

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Solution

The fourth proportional to 83,901, 125,868.78 and 34,653 is: 51,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,901 : 125,868.78 = 34,653 : x
  2. Step 2: Convert to fraction form
    83,901/125,868.78 = 34,653/x
  3. Step 3: Cross multiply
    83,901x = 125,868.78 × 34,653
  4. Step 4: Simplify right side
    83,901x = 4,361,730,833.34
  5. Step 5: Solve for x
    x = 4,361,730,833.34/83,901
  6. Step 6: Final answer
    x = 51,986.64

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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.