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Finding the Fourth Proportional to 78,769.87, 108,683.74 and 44,775.69

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Solution

The fourth proportional to 78,769.87, 108,683.74 and 44,775.69 is: 61,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,769.87 : 108,683.74 = 44,775.69 : x
  2. Step 2: Convert to fraction form
    78,769.87/108,683.74 = 44,775.69/x
  3. Step 3: Cross multiply
    78,769.87x = 108,683.74 × 44,775.69
  4. Step 4: Simplify right side
    78,769.87x = 4,866,389,338.34
  5. Step 5: Solve for x
    x = 4,866,389,338.34/78,769.87
  6. Step 6: Final answer
    x = 61,779.83

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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.