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Finding the Fourth Proportional to 142.85, 214.16 and 73.32

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Solution

The fourth proportional to 142.85, 214.16 and 73.32 is: 109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.85 : 214.16 = 73.32 : x
  2. Step 2: Convert to fraction form
    142.85/214.16 = 73.32/x
  3. Step 3: Cross multiply
    142.85x = 214.16 × 73.32
  4. Step 4: Simplify right side
    142.85x = 15,701.84
  5. Step 5: Solve for x
    x = 15,701.84/142.85
  6. Step 6: Final answer
    x = 109.92

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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.