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Finding the Fourth Proportional to 201,698.92, 302,709.66 and 90,899.56

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Solution

The fourth proportional to 201,698.92, 302,709.66 and 90,899.56 is: 136,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.92 : 302,709.66 = 90,899.56 : x
  2. Step 2: Convert to fraction form
    201,698.92/302,709.66 = 90,899.56/x
  3. Step 3: Cross multiply
    201,698.92x = 302,709.66 × 90,899.56
  4. Step 4: Simplify right side
    201,698.92x = 27,516,174,901.75
  5. Step 5: Solve for x
    x = 27,516,174,901.75/201,698.92
  6. Step 6: Final answer
    x = 136,422.02

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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.