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Finding the Fourth Proportional to 266,989.16, 400,354.14 and 100,790.12

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Solution

The fourth proportional to 266,989.16, 400,354.14 and 100,790.12 is: 151,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,989.16 : 400,354.14 = 100,790.12 : x
  2. Step 2: Convert to fraction form
    266,989.16/400,354.14 = 100,790.12/x
  3. Step 3: Cross multiply
    266,989.16x = 400,354.14 × 100,790.12
  4. Step 4: Simplify right side
    266,989.16x = 40,351,741,813.10
  5. Step 5: Solve for x
    x = 40,351,741,813.10/266,989.16
  6. Step 6: Final answer
    x = 151,136.26

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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.