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Finding the Fourth Proportional to 54,940.74, 82,411.10 and 19,872.20

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Solution

The fourth proportional to 54,940.74, 82,411.10 and 19,872.20 is: 29,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.74 : 82,411.10 = 19,872.20 : x
  2. Step 2: Convert to fraction form
    54,940.74/82,411.10 = 19,872.20/x
  3. Step 3: Cross multiply
    54,940.74x = 82,411.10 × 19,872.20
  4. Step 4: Simplify right side
    54,940.74x = 1,637,689,499.04
  5. Step 5: Solve for x
    x = 1,637,689,499.04/54,940.74
  6. Step 6: Final answer
    x = 29,808.29

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1.5x scale

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.