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Finding the Fourth Proportional to 271,425.50, 407,140.86 and 102,900.50

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Solution

The fourth proportional to 271,425.50, 407,140.86 and 102,900.50 is: 154,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,425.50 : 407,140.86 = 102,900.50 : x
  2. Step 2: Convert to fraction form
    271,425.50/407,140.86 = 102,900.50/x
  3. Step 3: Cross multiply
    271,425.50x = 407,140.86 × 102,900.50
  4. Step 4: Simplify right side
    271,425.50x = 41,894,998,064.43
  5. Step 5: Solve for x
    x = 41,894,998,064.43/271,425.50
  6. Step 6: Final answer
    x = 154,351.74

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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.