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Finding the Fourth Proportional to 78,379.33, 108,165.08 and 47,741.89

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Solution

The fourth proportional to 78,379.33, 108,165.08 and 47,741.89 is: 65,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,379.33 : 108,165.08 = 47,741.89 : x
  2. Step 2: Convert to fraction form
    78,379.33/108,165.08 = 47,741.89/x
  3. Step 3: Cross multiply
    78,379.33x = 108,165.08 × 47,741.89
  4. Step 4: Simplify right side
    78,379.33x = 5,164,005,351.20
  5. Step 5: Solve for x
    x = 5,164,005,351.20/78,379.33
  6. Step 6: Final answer
    x = 65,884.79

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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.