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Finding the Fourth Proportional to 271,423.50, 407,137.86 and 102,898.50

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Solution

The fourth proportional to 271,423.50, 407,137.86 and 102,898.50 is: 154,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,423.50 : 407,137.86 = 102,898.50 : x
  2. Step 2: Convert to fraction form
    271,423.50/407,137.86 = 102,898.50/x
  3. Step 3: Cross multiply
    271,423.50x = 407,137.86 × 102,898.50
  4. Step 4: Simplify right side
    271,423.50x = 41,893,875,087.21
  5. Step 5: Solve for x
    x = 41,893,875,087.21/271,423.50
  6. Step 6: Final answer
    x = 154,348.74

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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.