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Finding the Fourth Proportional to 271,237.86, 406,810.35 and 71,560.31

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Solution

The fourth proportional to 271,237.86, 406,810.35 and 71,560.31 is: 107,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,237.86 : 406,810.35 = 71,560.31 : x
  2. Step 2: Convert to fraction form
    271,237.86/406,810.35 = 71,560.31/x
  3. Step 3: Cross multiply
    271,237.86x = 406,810.35 × 71,560.31
  4. Step 4: Simplify right side
    271,237.86x = 29,111,472,723.16
  5. Step 5: Solve for x
    x = 29,111,472,723.16/271,237.86
  6. Step 6: Final answer
    x = 107,328.21

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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.