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Finding the Fourth Proportional to 78, 107.48 and 60.72

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Solution

The fourth proportional to 78, 107.48 and 60.72 is: 83.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 107.48 = 60.72 : x
  2. Step 2: Convert to fraction form
    78/107.48 = 60.72/x
  3. Step 3: Cross multiply
    78x = 107.48 × 60.72
  4. Step 4: Simplify right side
    78x = 6,526.19
  5. Step 5: Solve for x
    x = 6,526.19/78
  6. Step 6: Final answer
    x = 83.67

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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.