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Finding the Fourth Proportional to 271,065.43, 406,970.54 and 138,035.08

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Solution

The fourth proportional to 271,065.43, 406,970.54 and 138,035.08 is: 207,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,065.43 : 406,970.54 = 138,035.08 : x
  2. Step 2: Convert to fraction form
    271,065.43/406,970.54 = 138,035.08/x
  3. Step 3: Cross multiply
    271,065.43x = 406,970.54 × 138,035.08
  4. Step 4: Simplify right side
    271,065.43x = 56,176,211,046.54
  5. Step 5: Solve for x
    x = 56,176,211,046.54/271,065.43
  6. Step 6: Final answer
    x = 207,242.26

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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.