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Finding the Fourth Proportional to 102.52, 141.53 and 78.06

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Solution

The fourth proportional to 102.52, 141.53 and 78.06 is: 107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 141.53 = 78.06 : x
  2. Step 2: Convert to fraction form
    102.52/141.53 = 78.06/x
  3. Step 3: Cross multiply
    102.52x = 141.53 × 78.06
  4. Step 4: Simplify right side
    102.52x = 11,047.83
  5. Step 5: Solve for x
    x = 11,047.83/102.52
  6. Step 6: Final answer
    x = 107.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.