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Finding the Fourth Proportional to 76,572.87, 114,850.19 and 20,417.19

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Solution

The fourth proportional to 76,572.87, 114,850.19 and 20,417.19 is: 30,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,572.87 : 114,850.19 = 20,417.19 : x
  2. Step 2: Convert to fraction form
    76,572.87/114,850.19 = 20,417.19/x
  3. Step 3: Cross multiply
    76,572.87x = 114,850.19 × 20,417.19
  4. Step 4: Simplify right side
    76,572.87x = 2,344,918,048.68
  5. Step 5: Solve for x
    x = 2,344,918,048.68/76,572.87
  6. Step 6: Final answer
    x = 30,623.35

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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.