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Finding the Fourth Proportional to 145.87, 201.05 and 102.13

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Solution

The fourth proportional to 145.87, 201.05 and 102.13 is: 140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.87 : 201.05 = 102.13 : x
  2. Step 2: Convert to fraction form
    145.87/201.05 = 102.13/x
  3. Step 3: Cross multiply
    145.87x = 201.05 × 102.13
  4. Step 4: Simplify right side
    145.87x = 20,532.61
  5. Step 5: Solve for x
    x = 20,532.61/145.87
  6. Step 6: Final answer
    x = 140.76

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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.