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Finding the Fourth Proportional to 142.09, 212.73 and 73.46

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Solution

The fourth proportional to 142.09, 212.73 and 73.46 is: 109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.09 : 212.73 = 73.46 : x
  2. Step 2: Convert to fraction form
    142.09/212.73 = 73.46/x
  3. Step 3: Cross multiply
    142.09x = 212.73 × 73.46
  4. Step 4: Simplify right side
    142.09x = 15,627.15
  5. Step 5: Solve for x
    x = 15,627.15/142.09
  6. Step 6: Final answer
    x = 109.98

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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.