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Finding the Fourth Proportional to 79,644.94, 109,904.35 and 47,377.78

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Solution

The fourth proportional to 79,644.94, 109,904.35 and 47,377.78 is: 65,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,644.94 : 109,904.35 = 47,377.78 : x
  2. Step 2: Convert to fraction form
    79,644.94/109,904.35 = 47,377.78/x
  3. Step 3: Cross multiply
    79,644.94x = 109,904.35 × 47,377.78
  4. Step 4: Simplify right side
    79,644.94x = 5,207,024,115.34
  5. Step 5: Solve for x
    x = 5,207,024,115.34/79,644.94
  6. Step 6: Final answer
    x = 65,377.97

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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.