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Finding the Fourth Proportional to 116.02, 159.99 and 89.75

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Solution

The fourth proportional to 116.02, 159.99 and 89.75 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 159.99 = 89.75 : x
  2. Step 2: Convert to fraction form
    116.02/159.99 = 89.75/x
  3. Step 3: Cross multiply
    116.02x = 159.99 × 89.75
  4. Step 4: Simplify right side
    116.02x = 14,359.17
  5. Step 5: Solve for x
    x = 14,359.17/116.02
  6. Step 6: Final answer
    x = 123.76

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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.