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Finding the Fourth Proportional to 78.06, 117.02 and 52.28

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Solution

The fourth proportional to 78.06, 117.02 and 52.28 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 117.02 = 52.28 : x
  2. Step 2: Convert to fraction form
    78.06/117.02 = 52.28/x
  3. Step 3: Cross multiply
    78.06x = 117.02 × 52.28
  4. Step 4: Simplify right side
    78.06x = 6,117.81
  5. Step 5: Solve for x
    x = 6,117.81/78.06
  6. Step 6: Final answer
    x = 78.37

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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.