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Finding the Fourth Proportional to 54,658.61, 81,969.56 and 20,916.75

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Solution

The fourth proportional to 54,658.61, 81,969.56 and 20,916.75 is: 31,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.61 : 81,969.56 = 20,916.75 : x
  2. Step 2: Convert to fraction form
    54,658.61/81,969.56 = 20,916.75/x
  3. Step 3: Cross multiply
    54,658.61x = 81,969.56 × 20,916.75
  4. Step 4: Simplify right side
    54,658.61x = 1,714,536,689.55
  5. Step 5: Solve for x
    x = 1,714,536,689.55/54,658.61
  6. Step 6: Final answer
    x = 31,368.10

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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.