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Finding the Fourth Proportional to 78.81, 117.58 and 73.57

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Solution

The fourth proportional to 78.81, 117.58 and 73.57 is: 109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.81 : 117.58 = 73.57 : x
  2. Step 2: Convert to fraction form
    78.81/117.58 = 73.57/x
  3. Step 3: Cross multiply
    78.81x = 117.58 × 73.57
  4. Step 4: Simplify right side
    78.81x = 8,650.36
  5. Step 5: Solve for x
    x = 8,650.36/78.81
  6. Step 6: Final answer
    x = 109.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.