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Finding the Fourth Proportional to 55,530, 83,288.88 and 13,977

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Solution

The fourth proportional to 55,530, 83,288.88 and 13,977 is: 20,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,530 : 83,288.88 = 13,977 : x
  2. Step 2: Convert to fraction form
    55,530/83,288.88 = 13,977/x
  3. Step 3: Cross multiply
    55,530x = 83,288.88 × 13,977
  4. Step 4: Simplify right side
    55,530x = 1,164,128,675.76
  5. Step 5: Solve for x
    x = 1,164,128,675.76/55,530
  6. Step 6: Final answer
    x = 20,963.96

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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.