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Finding the Fourth Proportional to 47,474, 65,478.48 and 39,960.48

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Solution

The fourth proportional to 47,474, 65,478.48 and 39,960.48 is: 55,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474 : 65,478.48 = 39,960.48 : x
  2. Step 2: Convert to fraction form
    47,474/65,478.48 = 39,960.48/x
  3. Step 3: Cross multiply
    47,474x = 65,478.48 × 39,960.48
  4. Step 4: Simplify right side
    47,474x = 2,616,551,490.47
  5. Step 5: Solve for x
    x = 2,616,551,490.47/47,474
  6. Step 6: Final answer
    x = 55,115.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.