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Finding the Fourth Proportional to 203,463.13, 280,767.67 and 112,813.69

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Solution

The fourth proportional to 203,463.13, 280,767.67 and 112,813.69 is: 155,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463.13 : 280,767.67 = 112,813.69 : x
  2. Step 2: Convert to fraction form
    203,463.13/280,767.67 = 112,813.69/x
  3. Step 3: Cross multiply
    203,463.13x = 280,767.67 × 112,813.69
  4. Step 4: Simplify right side
    203,463.13x = 31,674,436,885.40
  5. Step 5: Solve for x
    x = 31,674,436,885.40/203,463.13
  6. Step 6: Final answer
    x = 155,676.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.