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Finding the Fourth Proportional to 116.08, 159.76 and 89.80

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Solution

The fourth proportional to 116.08, 159.76 and 89.80 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.08 : 159.76 = 89.80 : x
  2. Step 2: Convert to fraction form
    116.08/159.76 = 89.80/x
  3. Step 3: Cross multiply
    116.08x = 159.76 × 89.80
  4. Step 4: Simplify right side
    116.08x = 14,346.45
  5. Step 5: Solve for x
    x = 14,346.45/116.08
  6. Step 6: Final answer
    x = 123.59

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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.