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Finding the Fourth Proportional to 271,502.50, 407,312.24 and 81,947

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Solution

The fourth proportional to 271,502.50, 407,312.24 and 81,947 is: 122,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,502.50 : 407,312.24 = 81,947 : x
  2. Step 2: Convert to fraction form
    271,502.50/407,312.24 = 81,947/x
  3. Step 3: Cross multiply
    271,502.50x = 407,312.24 × 81,947
  4. Step 4: Simplify right side
    271,502.50x = 33,378,016,131.28
  5. Step 5: Solve for x
    x = 33,378,016,131.28/271,502.50
  6. Step 6: Final answer
    x = 122,938.15

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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.