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Finding the Fourth Proportional to 78.13, 117.35 and 73.93

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Solution

The fourth proportional to 78.13, 117.35 and 73.93 is: 111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.13 : 117.35 = 73.93 : x
  2. Step 2: Convert to fraction form
    78.13/117.35 = 73.93/x
  3. Step 3: Cross multiply
    78.13x = 117.35 × 73.93
  4. Step 4: Simplify right side
    78.13x = 8,675.69
  5. Step 5: Solve for x
    x = 8,675.69/78.13
  6. Step 6: Final answer
    x = 111.04

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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.