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Finding the Fourth Proportional to 54,872.70, 82,312.65 and 15,431.10

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Solution

The fourth proportional to 54,872.70, 82,312.65 and 15,431.10 is: 23,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872.70 : 82,312.65 = 15,431.10 : x
  2. Step 2: Convert to fraction form
    54,872.70/82,312.65 = 15,431.10/x
  3. Step 3: Cross multiply
    54,872.70x = 82,312.65 × 15,431.10
  4. Step 4: Simplify right side
    54,872.70x = 1,270,174,733.42
  5. Step 5: Solve for x
    x = 1,270,174,733.42/54,872.70
  6. Step 6: Final answer
    x = 23,147.66

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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.