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Finding the Fourth Proportional to 73.42, 109.51 and 71.26

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Solution

The fourth proportional to 73.42, 109.51 and 71.26 is: 106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.42 : 109.51 = 71.26 : x
  2. Step 2: Convert to fraction form
    73.42/109.51 = 71.26/x
  3. Step 3: Cross multiply
    73.42x = 109.51 × 71.26
  4. Step 4: Simplify right side
    73.42x = 7,803.14
  5. Step 5: Solve for x
    x = 7,803.14/73.42
  6. Step 6: Final answer
    x = 106.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.