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Finding the Fourth Proportional to 205,000.10, 307,500.15 and 125,857.70

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Solution

The fourth proportional to 205,000.10, 307,500.15 and 125,857.70 is: 188,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,000.10 : 307,500.15 = 125,857.70 : x
  2. Step 2: Convert to fraction form
    205,000.10/307,500.15 = 125,857.70/x
  3. Step 3: Cross multiply
    205,000.10x = 307,500.15 × 125,857.70
  4. Step 4: Simplify right side
    205,000.10x = 38,701,261,628.66
  5. Step 5: Solve for x
    x = 38,701,261,628.66/205,000.10
  6. Step 6: Final answer
    x = 188,786.55

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1.5x scale

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.