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Finding the Fourth Proportional to 221,086.58, 305,012.86 and 136,056.02

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Solution

The fourth proportional to 221,086.58, 305,012.86 and 136,056.02 is: 187,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,086.58 : 305,012.86 = 136,056.02 : x
  2. Step 2: Convert to fraction form
    221,086.58/305,012.86 = 136,056.02/x
  3. Step 3: Cross multiply
    221,086.58x = 305,012.86 × 136,056.02
  4. Step 4: Simplify right side
    221,086.58x = 41,498,835,780.42
  5. Step 5: Solve for x
    x = 41,498,835,780.42/221,086.58
  6. Step 6: Final answer
    x = 187,704.00

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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.