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Finding the Fourth Proportional to 219,943.80, 329,838.90 and 114,727.80

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Solution

The fourth proportional to 219,943.80, 329,838.90 and 114,727.80 is: 172,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,943.80 : 329,838.90 = 114,727.80 : x
  2. Step 2: Convert to fraction form
    219,943.80/329,838.90 = 114,727.80/x
  3. Step 3: Cross multiply
    219,943.80x = 329,838.90 × 114,727.80
  4. Step 4: Simplify right side
    219,943.80x = 37,841,691,351.42
  5. Step 5: Solve for x
    x = 37,841,691,351.42/219,943.80
  6. Step 6: Final answer
    x = 172,051.64

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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.