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Finding the Fourth Proportional to 78.02, 116.94 and 63.54

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Solution

The fourth proportional to 78.02, 116.94 and 63.54 is: 95.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.02 : 116.94 = 63.54 : x
  2. Step 2: Convert to fraction form
    78.02/116.94 = 63.54/x
  3. Step 3: Cross multiply
    78.02x = 116.94 × 63.54
  4. Step 4: Simplify right side
    78.02x = 7,430.37
  5. Step 5: Solve for x
    x = 7,430.37/78.02
  6. Step 6: Final answer
    x = 95.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.