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Finding the Fourth Proportional to 83,890.80, 115,710.12 and 57,017.52

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Solution

The fourth proportional to 83,890.80, 115,710.12 and 57,017.52 is: 78,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,890.80 : 115,710.12 = 57,017.52 : x
  2. Step 2: Convert to fraction form
    83,890.80/115,710.12 = 57,017.52/x
  3. Step 3: Cross multiply
    83,890.80x = 115,710.12 × 57,017.52
  4. Step 4: Simplify right side
    83,890.80x = 6,597,504,081.30
  5. Step 5: Solve for x
    x = 6,597,504,081.30/83,890.80
  6. Step 6: Final answer
    x = 78,643.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.