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Finding the Fourth Proportional to 221,083.70, 305,008.89 and 136,053.14

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Solution

The fourth proportional to 221,083.70, 305,008.89 and 136,053.14 is: 187,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,083.70 : 305,008.89 = 136,053.14 : x
  2. Step 2: Convert to fraction form
    221,083.70/305,008.89 = 136,053.14/x
  3. Step 3: Cross multiply
    221,083.70x = 305,008.89 × 136,053.14
  4. Step 4: Simplify right side
    221,083.70x = 41,497,417,212.41
  5. Step 5: Solve for x
    x = 41,497,417,212.41/221,083.70
  6. Step 6: Final answer
    x = 187,700.03

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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.