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Finding the Fourth Proportional to 271,953.76, 407,869.04 and 103,414

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Solution

The fourth proportional to 271,953.76, 407,869.04 and 103,414 is: 155,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,953.76 : 407,869.04 = 103,414 : x
  2. Step 2: Convert to fraction form
    271,953.76/407,869.04 = 103,414/x
  3. Step 3: Cross multiply
    271,953.76x = 407,869.04 × 103,414
  4. Step 4: Simplify right side
    271,953.76x = 42,179,368,902.56
  5. Step 5: Solve for x
    x = 42,179,368,902.56/271,953.76
  6. Step 6: Final answer
    x = 155,097.58

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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.