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Finding the Fourth Proportional to 205,223.85, 307,866.56 and 72,080.64

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Solution

The fourth proportional to 205,223.85, 307,866.56 and 72,080.64 is: 108,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,223.85 : 307,866.56 = 72,080.64 : x
  2. Step 2: Convert to fraction form
    205,223.85/307,866.56 = 72,080.64/x
  3. Step 3: Cross multiply
    205,223.85x = 307,866.56 × 72,080.64
  4. Step 4: Simplify right side
    205,223.85x = 22,191,218,319.00
  5. Step 5: Solve for x
    x = 22,191,218,319.00/205,223.85
  6. Step 6: Final answer
    x = 108,131.77

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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.