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Finding the Fourth Proportional to 76,803.11, 115,224.08 and 21,399.11

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Solution

The fourth proportional to 76,803.11, 115,224.08 and 21,399.11 is: 32,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,803.11 : 115,224.08 = 21,399.11 : x
  2. Step 2: Convert to fraction form
    76,803.11/115,224.08 = 21,399.11/x
  3. Step 3: Cross multiply
    76,803.11x = 115,224.08 × 21,399.11
  4. Step 4: Simplify right side
    76,803.11x = 2,465,692,762.57
  5. Step 5: Solve for x
    x = 2,465,692,762.57/76,803.11
  6. Step 6: Final answer
    x = 32,104.07

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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.