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Finding the Fourth Proportional to 201,709.38, 302,423.97 and 89,328.36

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Solution

The fourth proportional to 201,709.38, 302,423.97 and 89,328.36 is: 133,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,709.38 : 302,423.97 = 89,328.36 : x
  2. Step 2: Convert to fraction form
    201,709.38/302,423.97 = 89,328.36/x
  3. Step 3: Cross multiply
    201,709.38x = 302,423.97 × 89,328.36
  4. Step 4: Simplify right side
    201,709.38x = 27,015,037,264.79
  5. Step 5: Solve for x
    x = 27,015,037,264.79/201,709.38
  6. Step 6: Final answer
    x = 133,930.50

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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.