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Finding the Fourth Proportional to 53,138.70, 79,716.65 and 15,702.53

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Solution

The fourth proportional to 53,138.70, 79,716.65 and 15,702.53 is: 23,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,138.70 : 79,716.65 = 15,702.53 : x
  2. Step 2: Convert to fraction form
    53,138.70/79,716.65 = 15,702.53/x
  3. Step 3: Cross multiply
    53,138.70x = 79,716.65 × 15,702.53
  4. Step 4: Simplify right side
    53,138.70x = 1,251,752,611.03
  5. Step 5: Solve for x
    x = 1,251,752,611.03/53,138.70
  6. Step 6: Final answer
    x = 23,556.33

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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.