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Finding the Fourth Proportional to 80.83, 111.43 and 53.19

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Solution

The fourth proportional to 80.83, 111.43 and 53.19 is: 73.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.83 : 111.43 = 53.19 : x
  2. Step 2: Convert to fraction form
    80.83/111.43 = 53.19/x
  3. Step 3: Cross multiply
    80.83x = 111.43 × 53.19
  4. Step 4: Simplify right side
    80.83x = 5,926.14
  5. Step 5: Solve for x
    x = 5,926.14/80.83
  6. Step 6: Final answer
    x = 73.32

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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.