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Finding the Fourth Proportional to 266,038.21, 398,710.77 and 108,082

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Solution

The fourth proportional to 266,038.21, 398,710.77 and 108,082 is: 161,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,038.21 : 398,710.77 = 108,082 : x
  2. Step 2: Convert to fraction form
    266,038.21/398,710.77 = 108,082/x
  3. Step 3: Cross multiply
    266,038.21x = 398,710.77 × 108,082
  4. Step 4: Simplify right side
    266,038.21x = 43,093,457,443.14
  5. Step 5: Solve for x
    x = 43,093,457,443.14/266,038.21
  6. Step 6: Final answer
    x = 161,982.21

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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.