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Finding the Fourth Proportional to 96.02, 144.63 and 87.51

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Solution

The fourth proportional to 96.02, 144.63 and 87.51 is: 131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 144.63 = 87.51 : x
  2. Step 2: Convert to fraction form
    96.02/144.63 = 87.51/x
  3. Step 3: Cross multiply
    96.02x = 144.63 × 87.51
  4. Step 4: Simplify right side
    96.02x = 12,656.57
  5. Step 5: Solve for x
    x = 12,656.57/96.02
  6. Step 6: Final answer
    x = 131.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.