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Finding the Fourth Proportional to 72,809.31, 100,469.12 and 40,977.66

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Solution

The fourth proportional to 72,809.31, 100,469.12 and 40,977.66 is: 56,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,809.31 : 100,469.12 = 40,977.66 : x
  2. Step 2: Convert to fraction form
    72,809.31/100,469.12 = 40,977.66/x
  3. Step 3: Cross multiply
    72,809.31x = 100,469.12 × 40,977.66
  4. Step 4: Simplify right side
    72,809.31x = 4,116,989,234.97
  5. Step 5: Solve for x
    x = 4,116,989,234.97/72,809.31
  6. Step 6: Final answer
    x = 56,544.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.