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Finding the Fourth Proportional to 201,645.90, 302,505.30 and 83,329.20

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Solution

The fourth proportional to 201,645.90, 302,505.30 and 83,329.20 is: 125,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.90 : 302,505.30 = 83,329.20 : x
  2. Step 2: Convert to fraction form
    201,645.90/302,505.30 = 83,329.20/x
  3. Step 3: Cross multiply
    201,645.90x = 302,505.30 × 83,329.20
  4. Step 4: Simplify right side
    201,645.90x = 25,207,524,644.76
  5. Step 5: Solve for x
    x = 25,207,524,644.76/201,645.90
  6. Step 6: Final answer
    x = 125,008.86

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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.