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Finding the Fourth Proportional to 202,918, 280,027.80 and 113,494

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Solution

The fourth proportional to 202,918, 280,027.80 and 113,494 is: 156,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,918 : 280,027.80 = 113,494 : x
  2. Step 2: Convert to fraction form
    202,918/280,027.80 = 113,494/x
  3. Step 3: Cross multiply
    202,918x = 280,027.80 × 113,494
  4. Step 4: Simplify right side
    202,918x = 31,781,475,133.20
  5. Step 5: Solve for x
    x = 31,781,475,133.20/202,918
  6. Step 6: Final answer
    x = 156,622.26

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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.