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Finding the Fourth Proportional to 78.09, 117.02 and 49.16

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Solution

The fourth proportional to 78.09, 117.02 and 49.16 is: 73.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 117.02 = 49.16 : x
  2. Step 2: Convert to fraction form
    78.09/117.02 = 49.16/x
  3. Step 3: Cross multiply
    78.09x = 117.02 × 49.16
  4. Step 4: Simplify right side
    78.09x = 5,751.87
  5. Step 5: Solve for x
    x = 5,751.87/78.09
  6. Step 6: Final answer
    x = 73.66

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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.