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Finding the Fourth Proportional to 217,135, 299,611.30 and 136,505.40

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Solution

The fourth proportional to 217,135, 299,611.30 and 136,505.40 is: 188,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,135 : 299,611.30 = 136,505.40 : x
  2. Step 2: Convert to fraction form
    217,135/299,611.30 = 136,505.40/x
  3. Step 3: Cross multiply
    217,135x = 299,611.30 × 136,505.40
  4. Step 4: Simplify right side
    217,135x = 40,898,560,351.02
  5. Step 5: Solve for x
    x = 40,898,560,351.02/217,135
  6. Step 6: Final answer
    x = 188,355.45

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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.