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Finding the Fourth Proportional to 271,006.97, 406,762.56 and 137,986.74

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Solution

The fourth proportional to 271,006.97, 406,762.56 and 137,986.74 is: 207,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,006.97 : 406,762.56 = 137,986.74 : x
  2. Step 2: Convert to fraction form
    271,006.97/406,762.56 = 137,986.74/x
  3. Step 3: Cross multiply
    271,006.97x = 406,762.56 × 137,986.74
  4. Step 4: Simplify right side
    271,006.97x = 56,127,839,608.45
  5. Step 5: Solve for x
    x = 56,127,839,608.45/271,006.97
  6. Step 6: Final answer
    x = 207,108.48

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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.