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Finding the Fourth Proportional to 221,686.73, 305,818.07 and 130,998.81

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Solution

The fourth proportional to 221,686.73, 305,818.07 and 130,998.81 is: 180,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,686.73 : 305,818.07 = 130,998.81 : x
  2. Step 2: Convert to fraction form
    221,686.73/305,818.07 = 130,998.81/x
  3. Step 3: Cross multiply
    221,686.73x = 305,818.07 × 130,998.81
  4. Step 4: Simplify right side
    221,686.73x = 40,061,802,591.50
  5. Step 5: Solve for x
    x = 40,061,802,591.50/221,686.73
  6. Step 6: Final answer
    x = 180,713.58

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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.