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Finding the Fourth Proportional to 48,680, 67,189.16 and 31,654.64

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Solution

The fourth proportional to 48,680, 67,189.16 and 31,654.64 is: 43,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,680 : 67,189.16 = 31,654.64 : x
  2. Step 2: Convert to fraction form
    48,680/67,189.16 = 31,654.64/x
  3. Step 3: Cross multiply
    48,680x = 67,189.16 × 31,654.64
  4. Step 4: Simplify right side
    48,680x = 2,126,848,671.70
  5. Step 5: Solve for x
    x = 2,126,848,671.70/48,680
  6. Step 6: Final answer
    x = 43,690.40

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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.