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Finding the Fourth Proportional to 76,249.74, 114,378.26 and 36,840

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Solution

The fourth proportional to 76,249.74, 114,378.26 and 36,840 is: 55,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,249.74 : 114,378.26 = 36,840 : x
  2. Step 2: Convert to fraction form
    76,249.74/114,378.26 = 36,840/x
  3. Step 3: Cross multiply
    76,249.74x = 114,378.26 × 36,840
  4. Step 4: Simplify right side
    76,249.74x = 4,213,695,098.40
  5. Step 5: Solve for x
    x = 4,213,695,098.40/76,249.74
  6. Step 6: Final answer
    x = 55,261.76

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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.