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Finding the Fourth Proportional to 93.70, 141.37 and 89.92

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Solution

The fourth proportional to 93.70, 141.37 and 89.92 is: 135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.70 : 141.37 = 89.92 : x
  2. Step 2: Convert to fraction form
    93.70/141.37 = 89.92/x
  3. Step 3: Cross multiply
    93.70x = 141.37 × 89.92
  4. Step 4: Simplify right side
    93.70x = 12,711.99
  5. Step 5: Solve for x
    x = 12,711.99/93.70
  6. Step 6: Final answer
    x = 135.67

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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.