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Finding the Fourth Proportional to 78, 107.61 and 57.32

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Solution

The fourth proportional to 78, 107.61 and 57.32 is: 79.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 107.61 = 57.32 : x
  2. Step 2: Convert to fraction form
    78/107.61 = 57.32/x
  3. Step 3: Cross multiply
    78x = 107.61 × 57.32
  4. Step 4: Simplify right side
    78x = 6,168.21
  5. Step 5: Solve for x
    x = 6,168.21/78
  6. Step 6: Final answer
    x = 79.08

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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.