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Finding the Fourth Proportional to 201,871.53, 302,580.95 and 81,900.61

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Solution

The fourth proportional to 201,871.53, 302,580.95 and 81,900.61 is: 122,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,871.53 : 302,580.95 = 81,900.61 : x
  2. Step 2: Convert to fraction form
    201,871.53/302,580.95 = 81,900.61/x
  3. Step 3: Cross multiply
    201,871.53x = 302,580.95 × 81,900.61
  4. Step 4: Simplify right side
    201,871.53x = 24,781,564,379.38
  5. Step 5: Solve for x
    x = 24,781,564,379.38/201,871.53
  6. Step 6: Final answer
    x = 122,759.09

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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.