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Finding the Fourth Proportional to 79,234, 109,342.92 and 47,404.24

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Solution

The fourth proportional to 79,234, 109,342.92 and 47,404.24 is: 65,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,234 : 109,342.92 = 47,404.24 : x
  2. Step 2: Convert to fraction form
    79,234/109,342.92 = 47,404.24/x
  3. Step 3: Cross multiply
    79,234x = 109,342.92 × 47,404.24
  4. Step 4: Simplify right side
    79,234x = 5,183,318,021.98
  5. Step 5: Solve for x
    x = 5,183,318,021.98/79,234
  6. Step 6: Final answer
    x = 65,417.85

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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.