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Finding the Fourth Proportional to 136,542.30, 204,813.45 and 113,214.30

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Solution

The fourth proportional to 136,542.30, 204,813.45 and 113,214.30 is: 169,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,542.30 : 204,813.45 = 113,214.30 : x
  2. Step 2: Convert to fraction form
    136,542.30/204,813.45 = 113,214.30/x
  3. Step 3: Cross multiply
    136,542.30x = 204,813.45 × 113,214.30
  4. Step 4: Simplify right side
    136,542.30x = 23,187,811,372.34
  5. Step 5: Solve for x
    x = 23,187,811,372.34/136,542.30
  6. Step 6: Final answer
    x = 169,821.45

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1.5x scale

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.