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Finding the Fourth Proportional to 84.83, 117.14 and 71.70

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Solution

The fourth proportional to 84.83, 117.14 and 71.70 is: 99.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.83 : 117.14 = 71.70 : x
  2. Step 2: Convert to fraction form
    84.83/117.14 = 71.70/x
  3. Step 3: Cross multiply
    84.83x = 117.14 × 71.70
  4. Step 4: Simplify right side
    84.83x = 8,398.58
  5. Step 5: Solve for x
    x = 8,398.58/84.83
  6. Step 6: Final answer
    x = 99.01

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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.