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Finding the Fourth Proportional to 154.07, 212.61 and 87.69

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Solution

The fourth proportional to 154.07, 212.61 and 87.69 is: 121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.07 : 212.61 = 87.69 : x
  2. Step 2: Convert to fraction form
    154.07/212.61 = 87.69/x
  3. Step 3: Cross multiply
    154.07x = 212.61 × 87.69
  4. Step 4: Simplify right side
    154.07x = 18,644.10
  5. Step 5: Solve for x
    x = 18,644.10/154.07
  6. Step 6: Final answer
    x = 121.01

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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.