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Finding the Fourth Proportional to 83,866.21, 115,773.10 and 55,200.87

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Solution

The fourth proportional to 83,866.21, 115,773.10 and 55,200.87 is: 76,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,866.21 : 115,773.10 = 55,200.87 : x
  2. Step 2: Convert to fraction form
    83,866.21/115,773.10 = 55,200.87/x
  3. Step 3: Cross multiply
    83,866.21x = 115,773.10 × 55,200.87
  4. Step 4: Simplify right side
    83,866.21x = 6,390,775,378.98
  5. Step 5: Solve for x
    x = 6,390,775,378.98/83,866.21
  6. Step 6: Final answer
    x = 76,202.03

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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.