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Finding the Fourth Proportional to 128,415.24, 192,462.42 and 61,843

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Solution

The fourth proportional to 128,415.24, 192,462.42 and 61,843 is: 92,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,415.24 : 192,462.42 = 61,843 : x
  2. Step 2: Convert to fraction form
    128,415.24/192,462.42 = 61,843/x
  3. Step 3: Cross multiply
    128,415.24x = 192,462.42 × 61,843
  4. Step 4: Simplify right side
    128,415.24x = 11,902,453,440.06
  5. Step 5: Solve for x
    x = 11,902,453,440.06/128,415.24
  6. Step 6: Final answer
    x = 92,687.23

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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.