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Finding the Fourth Proportional to 72.70, 109.43 and 65.25

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Solution

The fourth proportional to 72.70, 109.43 and 65.25 is: 98.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.70 : 109.43 = 65.25 : x
  2. Step 2: Convert to fraction form
    72.70/109.43 = 65.25/x
  3. Step 3: Cross multiply
    72.70x = 109.43 × 65.25
  4. Step 4: Simplify right side
    72.70x = 7,140.23
  5. Step 5: Solve for x
    x = 7,140.23/72.70
  6. Step 6: Final answer
    x = 98.22

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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.