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Finding the Fourth Proportional to 50,702.28, 76,122.42 and 28,531.32

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Solution

The fourth proportional to 50,702.28, 76,122.42 and 28,531.32 is: 42,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702.28 : 76,122.42 = 28,531.32 : x
  2. Step 2: Convert to fraction form
    50,702.28/76,122.42 = 28,531.32/x
  3. Step 3: Cross multiply
    50,702.28x = 76,122.42 × 28,531.32
  4. Step 4: Simplify right side
    50,702.28x = 2,171,873,124.19
  5. Step 5: Solve for x
    x = 2,171,873,124.19/50,702.28
  6. Step 6: Final answer
    x = 42,835.81

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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.