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Finding the Fourth Proportional to 96.19, 143.64 and 79.02

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Solution

The fourth proportional to 96.19, 143.64 and 79.02 is: 118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 143.64 = 79.02 : x
  2. Step 2: Convert to fraction form
    96.19/143.64 = 79.02/x
  3. Step 3: Cross multiply
    96.19x = 143.64 × 79.02
  4. Step 4: Simplify right side
    96.19x = 11,350.43
  5. Step 5: Solve for x
    x = 11,350.43/96.19
  6. Step 6: Final answer
    x = 118.00

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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.