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Finding the Fourth Proportional to 106.47, 146.79 and 73.35

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Solution

The fourth proportional to 106.47, 146.79 and 73.35 is: 101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 146.79 = 73.35 : x
  2. Step 2: Convert to fraction form
    106.47/146.79 = 73.35/x
  3. Step 3: Cross multiply
    106.47x = 146.79 × 73.35
  4. Step 4: Simplify right side
    106.47x = 10,767.05
  5. Step 5: Solve for x
    x = 10,767.05/106.47
  6. Step 6: Final answer
    x = 101.13

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Why These Related Problems?

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