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Finding the Fourth Proportional to 50,387, 69,534.06 and 28,031

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Solution

The fourth proportional to 50,387, 69,534.06 and 28,031 is: 38,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,387 : 69,534.06 = 28,031 : x
  2. Step 2: Convert to fraction form
    50,387/69,534.06 = 28,031/x
  3. Step 3: Cross multiply
    50,387x = 69,534.06 × 28,031
  4. Step 4: Simplify right side
    50,387x = 1,949,109,235.86
  5. Step 5: Solve for x
    x = 1,949,109,235.86/50,387
  6. Step 6: Final answer
    x = 38,682.78

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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.