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Finding the Fourth Proportional to 78.43, 117.57 and 59.14

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Solution

The fourth proportional to 78.43, 117.57 and 59.14 is: 88.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.43 : 117.57 = 59.14 : x
  2. Step 2: Convert to fraction form
    78.43/117.57 = 59.14/x
  3. Step 3: Cross multiply
    78.43x = 117.57 × 59.14
  4. Step 4: Simplify right side
    78.43x = 6,953.09
  5. Step 5: Solve for x
    x = 6,953.09/78.43
  6. Step 6: Final answer
    x = 88.65

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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.