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Finding the Fourth Proportional to 101,883.80, 152,824.98 and 55,431.96

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Solution

The fourth proportional to 101,883.80, 152,824.98 and 55,431.96 is: 83,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,883.80 : 152,824.98 = 55,431.96 : x
  2. Step 2: Convert to fraction form
    101,883.80/152,824.98 = 55,431.96/x
  3. Step 3: Cross multiply
    101,883.80x = 152,824.98 × 55,431.96
  4. Step 4: Simplify right side
    101,883.80x = 8,471,388,178.36
  5. Step 5: Solve for x
    x = 8,471,388,178.36/101,883.80
  6. Step 6: Final answer
    x = 83,147.55

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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.