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Finding the Fourth Proportional to 145.92, 201.38 and 87.70

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Solution

The fourth proportional to 145.92, 201.38 and 87.70 is: 121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.92 : 201.38 = 87.70 : x
  2. Step 2: Convert to fraction form
    145.92/201.38 = 87.70/x
  3. Step 3: Cross multiply
    145.92x = 201.38 × 87.70
  4. Step 4: Simplify right side
    145.92x = 17,661.03
  5. Step 5: Solve for x
    x = 17,661.03/145.92
  6. Step 6: Final answer
    x = 121.03

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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.