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Finding the Fourth Proportional to 47,494.92, 71,240.96 and 19,407

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Solution

The fourth proportional to 47,494.92, 71,240.96 and 19,407 is: 29,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,494.92 : 71,240.96 = 19,407 : x
  2. Step 2: Convert to fraction form
    47,494.92/71,240.96 = 19,407/x
  3. Step 3: Cross multiply
    47,494.92x = 71,240.96 × 19,407
  4. Step 4: Simplify right side
    47,494.92x = 1,382,573,310.72
  5. Step 5: Solve for x
    x = 1,382,573,310.72/47,494.92
  6. Step 6: Final answer
    x = 29,109.92

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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.