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Finding the Fourth Proportional to 52.12, 78.52 and 43.18

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Solution

The fourth proportional to 52.12, 78.52 and 43.18 is: 65.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 78.52 = 43.18 : x
  2. Step 2: Convert to fraction form
    52.12/78.52 = 43.18/x
  3. Step 3: Cross multiply
    52.12x = 78.52 × 43.18
  4. Step 4: Simplify right side
    52.12x = 3,390.49
  5. Step 5: Solve for x
    x = 3,390.49/52.12
  6. Step 6: Final answer
    x = 65.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.