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Finding the Fourth Proportional to 48,311, 66,646.50 and 34,171.64

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Solution

The fourth proportional to 48,311, 66,646.50 and 34,171.64 is: 47,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,311 : 66,646.50 = 34,171.64 : x
  2. Step 2: Convert to fraction form
    48,311/66,646.50 = 34,171.64/x
  3. Step 3: Cross multiply
    48,311x = 66,646.50 × 34,171.64
  4. Step 4: Simplify right side
    48,311x = 2,277,420,205.26
  5. Step 5: Solve for x
    x = 2,277,420,205.26/48,311
  6. Step 6: Final answer
    x = 47,140.82

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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.