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Finding the Fourth Proportional to 205,003.80, 307,505.70 and 125,861.40

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Solution

The fourth proportional to 205,003.80, 307,505.70 and 125,861.40 is: 188,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,003.80 : 307,505.70 = 125,861.40 : x
  2. Step 2: Convert to fraction form
    205,003.80/307,505.70 = 125,861.40/x
  3. Step 3: Cross multiply
    205,003.80x = 307,505.70 × 125,861.40
  4. Step 4: Simplify right side
    205,003.80x = 38,703,097,909.98
  5. Step 5: Solve for x
    x = 38,703,097,909.98/205,003.80
  6. Step 6: Final answer
    x = 188,792.10

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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.