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Finding the Fourth Proportional to 76,575.87, 114,869.30 and 20,415.69

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Solution

The fourth proportional to 76,575.87, 114,869.30 and 20,415.69 is: 30,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,575.87 : 114,869.30 = 20,415.69 : x
  2. Step 2: Convert to fraction form
    76,575.87/114,869.30 = 20,415.69/x
  3. Step 3: Cross multiply
    76,575.87x = 114,869.30 × 20,415.69
  4. Step 4: Simplify right side
    76,575.87x = 2,345,135,917.24
  5. Step 5: Solve for x
    x = 2,345,135,917.24/76,575.87
  6. Step 6: Final answer
    x = 30,625.00

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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.