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Finding the Fourth Proportional to 79,207.78, 109,306.72 and 47,384.16

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Solution

The fourth proportional to 79,207.78, 109,306.72 and 47,384.16 is: 65,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,207.78 : 109,306.72 = 47,384.16 : x
  2. Step 2: Convert to fraction form
    79,207.78/109,306.72 = 47,384.16/x
  3. Step 3: Cross multiply
    79,207.78x = 109,306.72 × 47,384.16
  4. Step 4: Simplify right side
    79,207.78x = 5,179,407,109.56
  5. Step 5: Solve for x
    x = 5,179,407,109.56/79,207.78
  6. Step 6: Final answer
    x = 65,390.13

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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.