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Finding the Fourth Proportional to 83,503, 115,235.63 and 45,263.80

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Solution

The fourth proportional to 83,503, 115,235.63 and 45,263.80 is: 62,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503 : 115,235.63 = 45,263.80 : x
  2. Step 2: Convert to fraction form
    83,503/115,235.63 = 45,263.80/x
  3. Step 3: Cross multiply
    83,503x = 115,235.63 × 45,263.80
  4. Step 4: Simplify right side
    83,503x = 5,216,002,282.88
  5. Step 5: Solve for x
    x = 5,216,002,282.88/83,503
  6. Step 6: Final answer
    x = 62,464.85

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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.