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Finding the Fourth Proportional to 205,851.58, 284,087.70 and 115,205.70

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Solution

The fourth proportional to 205,851.58, 284,087.70 and 115,205.70 is: 158,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,851.58 : 284,087.70 = 115,205.70 : x
  2. Step 2: Convert to fraction form
    205,851.58/284,087.70 = 115,205.70/x
  3. Step 3: Cross multiply
    205,851.58x = 284,087.70 × 115,205.70
  4. Step 4: Simplify right side
    205,851.58x = 32,728,522,339.89
  5. Step 5: Solve for x
    x = 32,728,522,339.89/205,851.58
  6. Step 6: Final answer
    x = 158,990.87

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1.5x scale

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.