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Finding the Fourth Proportional to 96, 142.86 and 93.12

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Solution

The fourth proportional to 96, 142.86 and 93.12 is: 138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 142.86 = 93.12 : x
  2. Step 2: Convert to fraction form
    96/142.86 = 93.12/x
  3. Step 3: Cross multiply
    96x = 142.86 × 93.12
  4. Step 4: Simplify right side
    96x = 13,303.12
  5. Step 5: Solve for x
    x = 13,303.12/96
  6. Step 6: Final answer
    x = 138.57

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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.