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Finding the Fourth Proportional to 143.61, 214.50 and 111.09

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Solution

The fourth proportional to 143.61, 214.50 and 111.09 is: 165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.61 : 214.50 = 111.09 : x
  2. Step 2: Convert to fraction form
    143.61/214.50 = 111.09/x
  3. Step 3: Cross multiply
    143.61x = 214.50 × 111.09
  4. Step 4: Simplify right side
    143.61x = 23,828.81
  5. Step 5: Solve for x
    x = 23,828.81/143.61
  6. Step 6: Final answer
    x = 165.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.