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Finding the Fourth Proportional to 271,792.80, 407,689.20 and 72,112.80

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Solution

The fourth proportional to 271,792.80, 407,689.20 and 72,112.80 is: 108,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,792.80 : 407,689.20 = 72,112.80 : x
  2. Step 2: Convert to fraction form
    271,792.80/407,689.20 = 72,112.80/x
  3. Step 3: Cross multiply
    271,792.80x = 407,689.20 × 72,112.80
  4. Step 4: Simplify right side
    271,792.80x = 29,399,609,741.76
  5. Step 5: Solve for x
    x = 29,399,609,741.76/271,792.80
  6. Step 6: Final answer
    x = 108,169.20

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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.