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Finding the Fourth Proportional to 140.84, 210.94 and 123.72

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Solution

The fourth proportional to 140.84, 210.94 and 123.72 is: 185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.84 : 210.94 = 123.72 : x
  2. Step 2: Convert to fraction form
    140.84/210.94 = 123.72/x
  3. Step 3: Cross multiply
    140.84x = 210.94 × 123.72
  4. Step 4: Simplify right side
    140.84x = 26,097.50
  5. Step 5: Solve for x
    x = 26,097.50/140.84
  6. Step 6: Final answer
    x = 185.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.