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Finding the Fourth Proportional to 47,134.44, 70,662.78 and 19,413

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Solution

The fourth proportional to 47,134.44, 70,662.78 and 19,413 is: 29,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134.44 : 70,662.78 = 19,413 : x
  2. Step 2: Convert to fraction form
    47,134.44/70,662.78 = 19,413/x
  3. Step 3: Cross multiply
    47,134.44x = 70,662.78 × 19,413
  4. Step 4: Simplify right side
    47,134.44x = 1,371,776,548.14
  5. Step 5: Solve for x
    x = 1,371,776,548.14/47,134.44
  6. Step 6: Final answer
    x = 29,103.49

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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.