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Finding the Fourth Proportional to 271,030.43, 406,918.04 and 138,000.08

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Solution

The fourth proportional to 271,030.43, 406,918.04 and 138,000.08 is: 207,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,030.43 : 406,918.04 = 138,000.08 : x
  2. Step 2: Convert to fraction form
    271,030.43/406,918.04 = 138,000.08/x
  3. Step 3: Cross multiply
    271,030.43x = 406,918.04 × 138,000.08
  4. Step 4: Simplify right side
    271,030.43x = 56,154,722,073.44
  5. Step 5: Solve for x
    x = 56,154,722,073.44/271,030.43
  6. Step 6: Final answer
    x = 207,189.73

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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.