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Finding the Fourth Proportional to 79,110, 109,171.80 and 43,782

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Solution

The fourth proportional to 79,110, 109,171.80 and 43,782 is: 60,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,110 : 109,171.80 = 43,782 : x
  2. Step 2: Convert to fraction form
    79,110/109,171.80 = 43,782/x
  3. Step 3: Cross multiply
    79,110x = 109,171.80 × 43,782
  4. Step 4: Simplify right side
    79,110x = 4,779,759,747.60
  5. Step 5: Solve for x
    x = 4,779,759,747.60/79,110
  6. Step 6: Final answer
    x = 60,419.16

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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.