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Finding the Fourth Proportional to 72,796.22, 109,212.46 and 57,859.70

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Solution

The fourth proportional to 72,796.22, 109,212.46 and 57,859.70 is: 86,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796.22 : 109,212.46 = 57,859.70 : x
  2. Step 2: Convert to fraction form
    72,796.22/109,212.46 = 57,859.70/x
  3. Step 3: Cross multiply
    72,796.22x = 109,212.46 × 57,859.70
  4. Step 4: Simplify right side
    72,796.22x = 6,319,000,171.86
  5. Step 5: Solve for x
    x = 6,319,000,171.86/72,796.22
  6. Step 6: Final answer
    x = 86,803.96

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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.