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Finding the Fourth Proportional to 269,083.50, 371,335.32 and 155,971.86

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Solution

The fourth proportional to 269,083.50, 371,335.32 and 155,971.86 is: 215,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,083.50 : 371,335.32 = 155,971.86 : x
  2. Step 2: Convert to fraction form
    269,083.50/371,335.32 = 155,971.86/x
  3. Step 3: Cross multiply
    269,083.50x = 371,335.32 × 155,971.86
  4. Step 4: Simplify right side
    269,083.50x = 57,917,860,544.10
  5. Step 5: Solve for x
    x = 57,917,860,544.10/269,083.50
  6. Step 6: Final answer
    x = 215,241.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.