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Finding the Fourth Proportional to 271,009.68, 406,764.36 and 137,985.84

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Solution

The fourth proportional to 271,009.68, 406,764.36 and 137,985.84 is: 207,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,009.68 : 406,764.36 = 137,985.84 : x
  2. Step 2: Convert to fraction form
    271,009.68/406,764.36 = 137,985.84/x
  3. Step 3: Cross multiply
    271,009.68x = 406,764.36 × 137,985.84
  4. Step 4: Simplify right side
    271,009.68x = 56,127,721,896.66
  5. Step 5: Solve for x
    x = 56,127,721,896.66/271,009.68
  6. Step 6: Final answer
    x = 207,105.97

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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.