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Finding the Fourth Proportional to 78.06, 116.83 and 52.32

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Solution

The fourth proportional to 78.06, 116.83 and 52.32 is: 78.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 116.83 = 52.32 : x
  2. Step 2: Convert to fraction form
    78.06/116.83 = 52.32/x
  3. Step 3: Cross multiply
    78.06x = 116.83 × 52.32
  4. Step 4: Simplify right side
    78.06x = 6,112.55
  5. Step 5: Solve for x
    x = 6,112.55/78.06
  6. Step 6: Final answer
    x = 78.31

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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.