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Finding the Fourth Proportional to 201,720.72, 302,440.56 and 89,339.84

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Solution

The fourth proportional to 201,720.72, 302,440.56 and 89,339.84 is: 133,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,720.72 : 302,440.56 = 89,339.84 : x
  2. Step 2: Convert to fraction form
    201,720.72/302,440.56 = 89,339.84/x
  3. Step 3: Cross multiply
    201,720.72x = 302,440.56 × 89,339.84
  4. Step 4: Simplify right side
    201,720.72x = 27,019,991,239.91
  5. Step 5: Solve for x
    x = 27,019,991,239.91/201,720.72
  6. Step 6: Final answer
    x = 133,947.53

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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.