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Finding the Fourth Proportional to 47,343, 71,046.90 and 30,661.56

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Solution

The fourth proportional to 47,343, 71,046.90 and 30,661.56 is: 46,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,343 : 71,046.90 = 30,661.56 : x
  2. Step 2: Convert to fraction form
    47,343/71,046.90 = 30,661.56/x
  3. Step 3: Cross multiply
    47,343x = 71,046.90 × 30,661.56
  4. Step 4: Simplify right side
    47,343x = 2,178,408,787.16
  5. Step 5: Solve for x
    x = 2,178,408,787.16/47,343
  6. Step 6: Final answer
    x = 46,013.32

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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.