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Finding the Fourth Proportional to 76,189.68, 114,036.12 and 68,914.80

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Solution

The fourth proportional to 76,189.68, 114,036.12 and 68,914.80 is: 103,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,189.68 : 114,036.12 = 68,914.80 : x
  2. Step 2: Convert to fraction form
    76,189.68/114,036.12 = 68,914.80/x
  3. Step 3: Cross multiply
    76,189.68x = 114,036.12 × 68,914.80
  4. Step 4: Simplify right side
    76,189.68x = 7,858,776,402.58
  5. Step 5: Solve for x
    x = 7,858,776,402.58/76,189.68
  6. Step 6: Final answer
    x = 103,147.52

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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.