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Finding the Fourth Proportional to 269,135.40, 403,703.10 and 91,648.20

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Solution

The fourth proportional to 269,135.40, 403,703.10 and 91,648.20 is: 137,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,135.40 : 403,703.10 = 91,648.20 : x
  2. Step 2: Convert to fraction form
    269,135.40/403,703.10 = 91,648.20/x
  3. Step 3: Cross multiply
    269,135.40x = 403,703.10 × 91,648.20
  4. Step 4: Simplify right side
    269,135.40x = 36,998,662,449.42
  5. Step 5: Solve for x
    x = 36,998,662,449.42/269,135.40
  6. Step 6: Final answer
    x = 137,472.30

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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.