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Finding the Fourth Proportional to 271,031.63, 406,919.82 and 138,001.28

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Solution

The fourth proportional to 271,031.63, 406,919.82 and 138,001.28 is: 207,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,031.63 : 406,919.82 = 138,001.28 : x
  2. Step 2: Convert to fraction form
    271,031.63/406,919.82 = 138,001.28/x
  3. Step 3: Cross multiply
    271,031.63x = 406,919.82 × 138,001.28
  4. Step 4: Simplify right side
    271,031.63x = 56,155,453,982.77
  5. Step 5: Solve for x
    x = 56,155,453,982.77/271,031.63
  6. Step 6: Final answer
    x = 207,191.52

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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.