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Finding the Fourth Proportional to 271,206.84, 406,779.09 and 71,543.04

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Solution

The fourth proportional to 271,206.84, 406,779.09 and 71,543.04 is: 107,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,206.84 : 406,779.09 = 71,543.04 : x
  2. Step 2: Convert to fraction form
    271,206.84/406,779.09 = 71,543.04/x
  3. Step 3: Cross multiply
    271,206.84x = 406,779.09 × 71,543.04
  4. Step 4: Simplify right side
    271,206.84x = 29,102,212,707.03
  5. Step 5: Solve for x
    x = 29,102,212,707.03/271,206.84
  6. Step 6: Final answer
    x = 107,306.34

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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.