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Finding the Fourth Proportional to 266,823.16, 400,205.16 and 67,143.60

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Solution

The fourth proportional to 266,823.16, 400,205.16 and 67,143.60 is: 100,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,823.16 : 400,205.16 = 67,143.60 : x
  2. Step 2: Convert to fraction form
    266,823.16/400,205.16 = 67,143.60/x
  3. Step 3: Cross multiply
    266,823.16x = 400,205.16 × 67,143.60
  4. Step 4: Simplify right side
    266,823.16x = 26,871,215,180.98
  5. Step 5: Solve for x
    x = 26,871,215,180.98/266,823.16
  6. Step 6: Final answer
    x = 100,707.96

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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.