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Finding the Fourth Proportional to 201,429.92, 302,155.92 and 66,488.48

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Solution

The fourth proportional to 201,429.92, 302,155.92 and 66,488.48 is: 99,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,429.92 : 302,155.92 = 66,488.48 : x
  2. Step 2: Convert to fraction form
    201,429.92/302,155.92 = 66,488.48/x
  3. Step 3: Cross multiply
    201,429.92x = 302,155.92 × 66,488.48
  4. Step 4: Simplify right side
    201,429.92x = 20,089,887,843.80
  5. Step 5: Solve for x
    x = 20,089,887,843.80/201,429.92
  6. Step 6: Final answer
    x = 99,736.36

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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.