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Finding the Fourth Proportional to 271,045.09, 406,535.35 and 71,381.06

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Solution

The fourth proportional to 271,045.09, 406,535.35 and 71,381.06 is: 107,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,045.09 : 406,535.35 = 71,381.06 : x
  2. Step 2: Convert to fraction form
    271,045.09/406,535.35 = 71,381.06/x
  3. Step 3: Cross multiply
    271,045.09x = 406,535.35 × 71,381.06
  4. Step 4: Simplify right side
    271,045.09x = 29,018,922,177.79
  5. Step 5: Solve for x
    x = 29,018,922,177.79/271,045.09
  6. Step 6: Final answer
    x = 107,063.08

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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.