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Finding the Fourth Proportional to 55,436.80, 83,147.10 and 15,989.80

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Solution

The fourth proportional to 55,436.80, 83,147.10 and 15,989.80 is: 23,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,436.80 : 83,147.10 = 15,989.80 : x
  2. Step 2: Convert to fraction form
    55,436.80/83,147.10 = 15,989.80/x
  3. Step 3: Cross multiply
    55,436.80x = 83,147.10 × 15,989.80
  4. Step 4: Simplify right side
    55,436.80x = 1,329,505,499.58
  5. Step 5: Solve for x
    x = 1,329,505,499.58/55,436.80
  6. Step 6: Final answer
    x = 23,982.36

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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.