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Finding the Fourth Proportional to 78,609.80, 117,914.70 and 76,422.80

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Solution

The fourth proportional to 78,609.80, 117,914.70 and 76,422.80 is: 114,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,609.80 : 117,914.70 = 76,422.80 : x
  2. Step 2: Convert to fraction form
    78,609.80/117,914.70 = 76,422.80/x
  3. Step 3: Cross multiply
    78,609.80x = 117,914.70 × 76,422.80
  4. Step 4: Simplify right side
    78,609.80x = 9,011,371,535.16
  5. Step 5: Solve for x
    x = 9,011,371,535.16/78,609.80
  6. Step 6: Final answer
    x = 114,634.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.