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Finding the Fourth Proportional to 83.34, 114.51 and 78.01

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Solution

The fourth proportional to 83.34, 114.51 and 78.01 is: 107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.34 : 114.51 = 78.01 : x
  2. Step 2: Convert to fraction form
    83.34/114.51 = 78.01/x
  3. Step 3: Cross multiply
    83.34x = 114.51 × 78.01
  4. Step 4: Simplify right side
    83.34x = 8,931.96
  5. Step 5: Solve for x
    x = 8,931.96/83.34
  6. Step 6: Final answer
    x = 107.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.