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Finding the Fourth Proportional to 136,490.64, 204,687 and 52,274.48

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Solution

The fourth proportional to 136,490.64, 204,687 and 52,274.48 is: 78,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,490.64 : 204,687 = 52,274.48 : x
  2. Step 2: Convert to fraction form
    136,490.64/204,687 = 52,274.48/x
  3. Step 3: Cross multiply
    136,490.64x = 204,687 × 52,274.48
  4. Step 4: Simplify right side
    136,490.64x = 10,699,906,487.76
  5. Step 5: Solve for x
    x = 10,699,906,487.76/136,490.64
  6. Step 6: Final answer
    x = 78,392.97

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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.