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Finding the Fourth Proportional to 94.71, 142.70 and 87.33

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Solution

The fourth proportional to 94.71, 142.70 and 87.33 is: 131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.71 : 142.70 = 87.33 : x
  2. Step 2: Convert to fraction form
    94.71/142.70 = 87.33/x
  3. Step 3: Cross multiply
    94.71x = 142.70 × 87.33
  4. Step 4: Simplify right side
    94.71x = 12,461.55
  5. Step 5: Solve for x
    x = 12,461.55/94.71
  6. Step 6: Final answer
    x = 131.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.