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Finding the Fourth Proportional to 77.72, 116.51 and 71.01

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Solution

The fourth proportional to 77.72, 116.51 and 71.01 is: 106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.72 : 116.51 = 71.01 : x
  2. Step 2: Convert to fraction form
    77.72/116.51 = 71.01/x
  3. Step 3: Cross multiply
    77.72x = 116.51 × 71.01
  4. Step 4: Simplify right side
    77.72x = 8,273.02
  5. Step 5: Solve for x
    x = 8,273.02/77.72
  6. Step 6: Final answer
    x = 106.45

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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.