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Finding the Fourth Proportional to 204,919.84, 307,518.16 and 71,801.12

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Solution

The fourth proportional to 204,919.84, 307,518.16 and 71,801.12 is: 107,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,919.84 : 307,518.16 = 71,801.12 : x
  2. Step 2: Convert to fraction form
    204,919.84/307,518.16 = 71,801.12/x
  3. Step 3: Cross multiply
    204,919.84x = 307,518.16 × 71,801.12
  4. Step 4: Simplify right side
    204,919.84x = 22,080,148,308.34
  5. Step 5: Solve for x
    x = 22,080,148,308.34/204,919.84
  6. Step 6: Final answer
    x = 107,750.17

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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.