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Finding the Fourth Proportional to 84.09, 116.14 and 56.59

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Solution

The fourth proportional to 84.09, 116.14 and 56.59 is: 78.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 116.14 = 56.59 : x
  2. Step 2: Convert to fraction form
    84.09/116.14 = 56.59/x
  3. Step 3: Cross multiply
    84.09x = 116.14 × 56.59
  4. Step 4: Simplify right side
    84.09x = 6,572.36
  5. Step 5: Solve for x
    x = 6,572.36/84.09
  6. Step 6: Final answer
    x = 78.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.