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Finding the Fourth Proportional to 76,776.86, 115,183.50 and 24,186.20

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Solution

The fourth proportional to 76,776.86, 115,183.50 and 24,186.20 is: 36,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776.86 : 115,183.50 = 24,186.20 : x
  2. Step 2: Convert to fraction form
    76,776.86/115,183.50 = 24,186.20/x
  3. Step 3: Cross multiply
    76,776.86x = 115,183.50 × 24,186.20
  4. Step 4: Simplify right side
    76,776.86x = 2,785,851,167.70
  5. Step 5: Solve for x
    x = 2,785,851,167.70/76,776.86
  6. Step 6: Final answer
    x = 36,285.04

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1.5x scale

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.