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Finding the Fourth Proportional to 50,771, 76,156.50 and 13,835

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Solution

The fourth proportional to 50,771, 76,156.50 and 13,835 is: 20,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,771 : 76,156.50 = 13,835 : x
  2. Step 2: Convert to fraction form
    50,771/76,156.50 = 13,835/x
  3. Step 3: Cross multiply
    50,771x = 76,156.50 × 13,835
  4. Step 4: Simplify right side
    50,771x = 1,053,625,177.50
  5. Step 5: Solve for x
    x = 1,053,625,177.50/50,771
  6. Step 6: Final answer
    x = 20,752.50

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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.