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Finding the Fourth Proportional to 47.43, 70.65 and 45.09

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Solution

The fourth proportional to 47.43, 70.65 and 45.09 is: 67.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.43 : 70.65 = 45.09 : x
  2. Step 2: Convert to fraction form
    47.43/70.65 = 45.09/x
  3. Step 3: Cross multiply
    47.43x = 70.65 × 45.09
  4. Step 4: Simplify right side
    47.43x = 3,185.61
  5. Step 5: Solve for x
    x = 3,185.61/47.43
  6. Step 6: Final answer
    x = 67.16

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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.