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Finding the Fourth Proportional to 266,784.85, 400,177.95 and 109,013.30

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Solution

The fourth proportional to 266,784.85, 400,177.95 and 109,013.30 is: 163,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,784.85 : 400,177.95 = 109,013.30 : x
  2. Step 2: Convert to fraction form
    266,784.85/400,177.95 = 109,013.30/x
  3. Step 3: Cross multiply
    266,784.85x = 400,177.95 × 109,013.30
  4. Step 4: Simplify right side
    266,784.85x = 43,624,718,916.74
  5. Step 5: Solve for x
    x = 43,624,718,916.74/266,784.85
  6. Step 6: Final answer
    x = 163,520.23

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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.