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Finding the Fourth Proportional to 50,729, 70,006.26 and 28,373

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Solution

The fourth proportional to 50,729, 70,006.26 and 28,373 is: 39,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,729 : 70,006.26 = 28,373 : x
  2. Step 2: Convert to fraction form
    50,729/70,006.26 = 28,373/x
  3. Step 3: Cross multiply
    50,729x = 70,006.26 × 28,373
  4. Step 4: Simplify right side
    50,729x = 1,986,287,614.98
  5. Step 5: Solve for x
    x = 1,986,287,614.98/50,729
  6. Step 6: Final answer
    x = 39,154.87

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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.