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Finding the Fourth Proportional to 50,458, 69,634.20 and 28,102

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Solution

The fourth proportional to 50,458, 69,634.20 and 28,102 is: 38,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,458 : 69,634.20 = 28,102 : x
  2. Step 2: Convert to fraction form
    50,458/69,634.20 = 28,102/x
  3. Step 3: Cross multiply
    50,458x = 69,634.20 × 28,102
  4. Step 4: Simplify right side
    50,458x = 1,956,860,288.40
  5. Step 5: Solve for x
    x = 1,956,860,288.40/50,458
  6. Step 6: Final answer
    x = 38,781.96

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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.