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Finding the Fourth Proportional to 76,522.77, 114,784 and 20,362.88

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Solution

The fourth proportional to 76,522.77, 114,784 and 20,362.88 is: 30,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,522.77 : 114,784 = 20,362.88 : x
  2. Step 2: Convert to fraction form
    76,522.77/114,784 = 20,362.88/x
  3. Step 3: Cross multiply
    76,522.77x = 114,784 × 20,362.88
  4. Step 4: Simplify right side
    76,522.77x = 2,337,332,817.92
  5. Step 5: Solve for x
    x = 2,337,332,817.92/76,522.77
  6. Step 6: Final answer
    x = 30,544.28

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1.5x scale

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.