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Finding the Fourth Proportional to 78,825.70, 108,779.77 and 43,016.50

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Solution

The fourth proportional to 78,825.70, 108,779.77 and 43,016.50 is: 59,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825.70 : 108,779.77 = 43,016.50 : x
  2. Step 2: Convert to fraction form
    78,825.70/108,779.77 = 43,016.50/x
  3. Step 3: Cross multiply
    78,825.70x = 108,779.77 × 43,016.50
  4. Step 4: Simplify right side
    78,825.70x = 4,679,324,976.21
  5. Step 5: Solve for x
    x = 4,679,324,976.21/78,825.70
  6. Step 6: Final answer
    x = 59,362.94

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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.