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Finding the Fourth Proportional to 47,773.76, 71,669.26 and 19,678.48

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Solution

The fourth proportional to 47,773.76, 71,669.26 and 19,678.48 is: 29,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773.76 : 71,669.26 = 19,678.48 : x
  2. Step 2: Convert to fraction form
    47,773.76/71,669.26 = 19,678.48/x
  3. Step 3: Cross multiply
    47,773.76x = 71,669.26 × 19,678.48
  4. Step 4: Simplify right side
    47,773.76x = 1,410,342,099.52
  5. Step 5: Solve for x
    x = 1,410,342,099.52/47,773.76
  6. Step 6: Final answer
    x = 29,521.27

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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.