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Finding the Fourth Proportional to 271,424.50, 407,139.36 and 102,899.50

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Solution

The fourth proportional to 271,424.50, 407,139.36 and 102,899.50 is: 154,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,424.50 : 407,139.36 = 102,899.50 : x
  2. Step 2: Convert to fraction form
    271,424.50/407,139.36 = 102,899.50/x
  3. Step 3: Cross multiply
    271,424.50x = 407,139.36 × 102,899.50
  4. Step 4: Simplify right side
    271,424.50x = 41,894,436,574.32
  5. Step 5: Solve for x
    x = 41,894,436,574.32/271,424.50
  6. Step 6: Final answer
    x = 154,350.24

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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.