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Finding the Fourth Proportional to 78, 107.65 and 59.54

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Solution

The fourth proportional to 78, 107.65 and 59.54 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 107.65 = 59.54 : x
  2. Step 2: Convert to fraction form
    78/107.65 = 59.54/x
  3. Step 3: Cross multiply
    78x = 107.65 × 59.54
  4. Step 4: Simplify right side
    78x = 6,409.48
  5. Step 5: Solve for x
    x = 6,409.48/78
  6. Step 6: Final answer
    x = 82.17

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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.