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Finding the Fourth Proportional to 221,083.83, 305,009.07 and 136,053.27

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Solution

The fourth proportional to 221,083.83, 305,009.07 and 136,053.27 is: 187,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,083.83 : 305,009.07 = 136,053.27 : x
  2. Step 2: Convert to fraction form
    221,083.83/305,009.07 = 136,053.27/x
  3. Step 3: Cross multiply
    221,083.83x = 305,009.07 × 136,053.27
  4. Step 4: Simplify right side
    221,083.83x = 41,497,481,353.16
  5. Step 5: Solve for x
    x = 41,497,481,353.16/221,083.83
  6. Step 6: Final answer
    x = 187,700.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.