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Finding the Fourth Proportional to 54,689.62, 82,031.66 and 21,415.78

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Solution

The fourth proportional to 54,689.62, 82,031.66 and 21,415.78 is: 32,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,689.62 : 82,031.66 = 21,415.78 : x
  2. Step 2: Convert to fraction form
    54,689.62/82,031.66 = 21,415.78/x
  3. Step 3: Cross multiply
    54,689.62x = 82,031.66 × 21,415.78
  4. Step 4: Simplify right side
    54,689.62x = 1,756,771,983.59
  5. Step 5: Solve for x
    x = 1,756,771,983.59/54,689.62
  6. Step 6: Final answer
    x = 32,122.59

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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.