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Finding the Fourth Proportional to 76,702.86, 115,003.53 and 36,727.74

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Solution

The fourth proportional to 76,702.86, 115,003.53 and 36,727.74 is: 55,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.86 : 115,003.53 = 36,727.74 : x
  2. Step 2: Convert to fraction form
    76,702.86/115,003.53 = 36,727.74/x
  3. Step 3: Cross multiply
    76,702.86x = 115,003.53 × 36,727.74
  4. Step 4: Simplify right side
    76,702.86x = 4,223,819,748.92
  5. Step 5: Solve for x
    x = 4,223,819,748.92/76,702.86
  6. Step 6: Final answer
    x = 55,067.30

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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.