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Finding the Fourth Proportional to 93.80, 141.26 and 75.80

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Solution

The fourth proportional to 93.80, 141.26 and 75.80 is: 114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.80 : 141.26 = 75.80 : x
  2. Step 2: Convert to fraction form
    93.80/141.26 = 75.80/x
  3. Step 3: Cross multiply
    93.80x = 141.26 × 75.80
  4. Step 4: Simplify right side
    93.80x = 10,707.51
  5. Step 5: Solve for x
    x = 10,707.51/93.80
  6. Step 6: Final answer
    x = 114.15

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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.