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Finding the Fourth Proportional to 258,794.22, 388,187.46 and 81,311.88

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Solution

The fourth proportional to 258,794.22, 388,187.46 and 81,311.88 is: 121,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,794.22 : 388,187.46 = 81,311.88 : x
  2. Step 2: Convert to fraction form
    258,794.22/388,187.46 = 81,311.88/x
  3. Step 3: Cross multiply
    258,794.22x = 388,187.46 × 81,311.88
  4. Step 4: Simplify right side
    258,794.22x = 31,564,252,165.02
  5. Step 5: Solve for x
    x = 31,564,252,165.02/258,794.22
  6. Step 6: Final answer
    x = 121,966.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.