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Finding the Fourth Proportional to 57,354.98, 86,044.78 and 19,916.24

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Solution

The fourth proportional to 57,354.98, 86,044.78 and 19,916.24 is: 29,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354.98 : 86,044.78 = 19,916.24 : x
  2. Step 2: Convert to fraction form
    57,354.98/86,044.78 = 19,916.24/x
  3. Step 3: Cross multiply
    57,354.98x = 86,044.78 × 19,916.24
  4. Step 4: Simplify right side
    57,354.98x = 1,713,688,489.23
  5. Step 5: Solve for x
    x = 1,713,688,489.23/57,354.98
  6. Step 6: Final answer
    x = 29,878.63

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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.