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Finding the Fourth Proportional to 143.61, 215.47 and 75.09

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Solution

The fourth proportional to 143.61, 215.47 and 75.09 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.61 : 215.47 = 75.09 : x
  2. Step 2: Convert to fraction form
    143.61/215.47 = 75.09/x
  3. Step 3: Cross multiply
    143.61x = 215.47 × 75.09
  4. Step 4: Simplify right side
    143.61x = 16,179.64
  5. Step 5: Solve for x
    x = 16,179.64/143.61
  6. Step 6: Final answer
    x = 112.66

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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.