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Finding the Fourth Proportional to 84.65, 126.37 and 75.56

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Solution

The fourth proportional to 84.65, 126.37 and 75.56 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.65 : 126.37 = 75.56 : x
  2. Step 2: Convert to fraction form
    84.65/126.37 = 75.56/x
  3. Step 3: Cross multiply
    84.65x = 126.37 × 75.56
  4. Step 4: Simplify right side
    84.65x = 9,547.98
  5. Step 5: Solve for x
    x = 9,547.98/84.65
  6. Step 6: Final answer
    x = 112.80

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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.