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Finding the Fourth Proportional to 50,870, 76,305.54 and 13,934

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Solution

The fourth proportional to 50,870, 76,305.54 and 13,934 is: 20,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,870 : 76,305.54 = 13,934 : x
  2. Step 2: Convert to fraction form
    50,870/76,305.54 = 13,934/x
  3. Step 3: Cross multiply
    50,870x = 76,305.54 × 13,934
  4. Step 4: Simplify right side
    50,870x = 1,063,241,394.36
  5. Step 5: Solve for x
    x = 1,063,241,394.36/50,870
  6. Step 6: Final answer
    x = 20,901.15

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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.