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Finding the Fourth Proportional to 271,031.44, 406,919.54 and 138,001.08

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Solution

The fourth proportional to 271,031.44, 406,919.54 and 138,001.08 is: 207,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,031.44 : 406,919.54 = 138,001.08 : x
  2. Step 2: Convert to fraction form
    271,031.44/406,919.54 = 138,001.08/x
  3. Step 3: Cross multiply
    271,031.44x = 406,919.54 × 138,001.08
  4. Step 4: Simplify right side
    271,031.44x = 56,155,335,993.10
  5. Step 5: Solve for x
    x = 56,155,335,993.10/271,031.44
  6. Step 6: Final answer
    x = 207,191.22

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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.