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Finding the Fourth Proportional to 221,084.31, 305,009.76 and 136,053.75

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Solution

The fourth proportional to 221,084.31, 305,009.76 and 136,053.75 is: 187,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,084.31 : 305,009.76 = 136,053.75 : x
  2. Step 2: Convert to fraction form
    221,084.31/305,009.76 = 136,053.75/x
  3. Step 3: Cross multiply
    221,084.31x = 305,009.76 × 136,053.75
  4. Step 4: Simplify right side
    221,084.31x = 41,497,721,634.60
  5. Step 5: Solve for x
    x = 41,497,721,634.60/221,084.31
  6. Step 6: Final answer
    x = 187,700.89

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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.