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Finding the Fourth Proportional to 78.05, 116.90 and 46.01

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Solution

The fourth proportional to 78.05, 116.90 and 46.01 is: 68.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.05 : 116.90 = 46.01 : x
  2. Step 2: Convert to fraction form
    78.05/116.90 = 46.01/x
  3. Step 3: Cross multiply
    78.05x = 116.90 × 46.01
  4. Step 4: Simplify right side
    78.05x = 5,378.57
  5. Step 5: Solve for x
    x = 5,378.57/78.05
  6. Step 6: Final answer
    x = 68.91

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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.