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Finding the Fourth Proportional to 128,491.77, 192,777.10 and 57,474.14

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Solution

The fourth proportional to 128,491.77, 192,777.10 and 57,474.14 is: 86,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,491.77 : 192,777.10 = 57,474.14 : x
  2. Step 2: Convert to fraction form
    128,491.77/192,777.10 = 57,474.14/x
  3. Step 3: Cross multiply
    128,491.77x = 192,777.10 × 57,474.14
  4. Step 4: Simplify right side
    128,491.77x = 11,079,698,010.99
  5. Step 5: Solve for x
    x = 11,079,698,010.99/128,491.77
  6. Step 6: Final answer
    x = 86,228.85

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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.