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Finding the Fourth Proportional to 77.82, 107.43 and 56.13

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Solution

The fourth proportional to 77.82, 107.43 and 56.13 is: 77.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 107.43 = 56.13 : x
  2. Step 2: Convert to fraction form
    77.82/107.43 = 56.13/x
  3. Step 3: Cross multiply
    77.82x = 107.43 × 56.13
  4. Step 4: Simplify right side
    77.82x = 6,030.05
  5. Step 5: Solve for x
    x = 6,030.05/77.82
  6. Step 6: Final answer
    x = 77.49

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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.