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Finding the Fourth Proportional to 271,910.50, 407,907.12 and 138,718.02

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Solution

The fourth proportional to 271,910.50, 407,907.12 and 138,718.02 is: 208,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,910.50 : 407,907.12 = 138,718.02 : x
  2. Step 2: Convert to fraction form
    271,910.50/407,907.12 = 138,718.02/x
  3. Step 3: Cross multiply
    271,910.50x = 407,907.12 × 138,718.02
  4. Step 4: Simplify right side
    271,910.50x = 56,584,068,030.30
  5. Step 5: Solve for x
    x = 56,584,068,030.30/271,910.50
  6. Step 6: Final answer
    x = 208,098.14

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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.