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Finding the Fourth Proportional to 76,807.91, 115,186.96 and 29,420.48

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Solution

The fourth proportional to 76,807.91, 115,186.96 and 29,420.48 is: 44,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.91 : 115,186.96 = 29,420.48 : x
  2. Step 2: Convert to fraction form
    76,807.91/115,186.96 = 29,420.48/x
  3. Step 3: Cross multiply
    76,807.91x = 115,186.96 × 29,420.48
  4. Step 4: Simplify right side
    76,807.91x = 3,388,855,652.94
  5. Step 5: Solve for x
    x = 3,388,855,652.94/76,807.91
  6. Step 6: Final answer
    x = 44,121.18

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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.