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Finding the Fourth Proportional to 271,678.56, 407,463.90 and 136,706.64

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Solution

The fourth proportional to 271,678.56, 407,463.90 and 136,706.64 is: 205,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,678.56 : 407,463.90 = 136,706.64 : x
  2. Step 2: Convert to fraction form
    271,678.56/407,463.90 = 136,706.64/x
  3. Step 3: Cross multiply
    271,678.56x = 407,463.90 × 136,706.64
  4. Step 4: Simplify right side
    271,678.56x = 55,703,020,690.30
  5. Step 5: Solve for x
    x = 55,703,020,690.30/271,678.56
  6. Step 6: Final answer
    x = 205,032.82

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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.