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Finding the Fourth Proportional to 78, 107.54 and 59.55

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Solution

The fourth proportional to 78, 107.54 and 59.55 is: 82.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 107.54 = 59.55 : x
  2. Step 2: Convert to fraction form
    78/107.54 = 59.55/x
  3. Step 3: Cross multiply
    78x = 107.54 × 59.55
  4. Step 4: Simplify right side
    78x = 6,403.17
  5. Step 5: Solve for x
    x = 6,403.17/78
  6. Step 6: Final answer
    x = 82.09

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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.