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Finding the Fourth Proportional to 201,687.59, 302,391.36 and 89,306.57

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Solution

The fourth proportional to 201,687.59, 302,391.36 and 89,306.57 is: 133,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,687.59 : 302,391.36 = 89,306.57 : x
  2. Step 2: Convert to fraction form
    201,687.59/302,391.36 = 89,306.57/x
  3. Step 3: Cross multiply
    201,687.59x = 302,391.36 × 89,306.57
  4. Step 4: Simplify right side
    201,687.59x = 27,005,535,915.21
  5. Step 5: Solve for x
    x = 27,005,535,915.21/201,687.59
  6. Step 6: Final answer
    x = 133,897.85

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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.