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Finding the Fourth Proportional to 204,742.65, 307,157.71 and 71,627.25

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Solution

The fourth proportional to 204,742.65, 307,157.71 and 71,627.25 is: 107,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,742.65 : 307,157.71 = 71,627.25 : x
  2. Step 2: Convert to fraction form
    204,742.65/307,157.71 = 71,627.25/x
  3. Step 3: Cross multiply
    204,742.65x = 307,157.71 × 71,627.25
  4. Step 4: Simplify right side
    204,742.65x = 22,000,860,752.69
  5. Step 5: Solve for x
    x = 22,000,860,752.69/204,742.65
  6. Step 6: Final answer
    x = 107,456.17

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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.