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Finding the Fourth Proportional to 201,697.38, 302,283.36 and 89,409.78

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Solution

The fourth proportional to 201,697.38, 302,283.36 and 89,409.78 is: 133,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,697.38 : 302,283.36 = 89,409.78 : x
  2. Step 2: Convert to fraction form
    201,697.38/302,283.36 = 89,409.78/x
  3. Step 3: Cross multiply
    201,697.38x = 302,283.36 × 89,409.78
  4. Step 4: Simplify right side
    201,697.38x = 27,027,088,715.26
  5. Step 5: Solve for x
    x = 27,027,088,715.26/201,697.38
  6. Step 6: Final answer
    x = 133,998.21

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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.