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Finding the Fourth Proportional to 221,084.33, 305,009.76 and 136,053.77

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Solution

The fourth proportional to 221,084.33, 305,009.76 and 136,053.77 is: 187,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,084.33 : 305,009.76 = 136,053.77 : x
  2. Step 2: Convert to fraction form
    221,084.33/305,009.76 = 136,053.77/x
  3. Step 3: Cross multiply
    221,084.33x = 305,009.76 × 136,053.77
  4. Step 4: Simplify right side
    221,084.33x = 41,497,726,209.75
  5. Step 5: Solve for x
    x = 41,497,726,209.75/221,084.33
  6. Step 6: Final answer
    x = 187,700.90

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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.