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Finding the Fourth Proportional to 78,269.68, 107,863 and 76,830.11

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Solution

The fourth proportional to 78,269.68, 107,863 and 76,830.11 is: 105,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,269.68 : 107,863 = 76,830.11 : x
  2. Step 2: Convert to fraction form
    78,269.68/107,863 = 76,830.11/x
  3. Step 3: Cross multiply
    78,269.68x = 107,863 × 76,830.11
  4. Step 4: Simplify right side
    78,269.68x = 8,287,126,154.93
  5. Step 5: Solve for x
    x = 8,287,126,154.93/78,269.68
  6. Step 6: Final answer
    x = 105,879.14

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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.