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Finding the Fourth Proportional to 201,721.80, 302,473.35 and 83,259.30

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Solution

The fourth proportional to 201,721.80, 302,473.35 and 83,259.30 is: 124,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,721.80 : 302,473.35 = 83,259.30 : x
  2. Step 2: Convert to fraction form
    201,721.80/302,473.35 = 83,259.30/x
  3. Step 3: Cross multiply
    201,721.80x = 302,473.35 × 83,259.30
  4. Step 4: Simplify right side
    201,721.80x = 25,183,719,389.66
  5. Step 5: Solve for x
    x = 25,183,719,389.66/201,721.80
  6. Step 6: Final answer
    x = 124,843.82

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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.