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Finding the Fourth Proportional to 76,750.83, 115,118.92 and 36,214.91

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Solution

The fourth proportional to 76,750.83, 115,118.92 and 36,214.91 is: 54,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750.83 : 115,118.92 = 36,214.91 : x
  2. Step 2: Convert to fraction form
    76,750.83/115,118.92 = 36,214.91/x
  3. Step 3: Cross multiply
    76,750.83x = 115,118.92 × 36,214.91
  4. Step 4: Simplify right side
    76,750.83x = 4,169,021,327.10
  5. Step 5: Solve for x
    x = 4,169,021,327.10/76,750.83
  6. Step 6: Final answer
    x = 54,318.91

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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.