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Finding the Fourth Proportional to 81,457.52, 122,186.41 and 22,288.77

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Solution

The fourth proportional to 81,457.52, 122,186.41 and 22,288.77 is: 33,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,457.52 : 122,186.41 = 22,288.77 : x
  2. Step 2: Convert to fraction form
    81,457.52/122,186.41 = 22,288.77/x
  3. Step 3: Cross multiply
    81,457.52x = 122,186.41 × 22,288.77
  4. Step 4: Simplify right side
    81,457.52x = 2,723,384,733.89
  5. Step 5: Solve for x
    x = 2,723,384,733.89/81,457.52
  6. Step 6: Final answer
    x = 33,433.19

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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.