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Finding the Fourth Proportional to 205,916.88, 308,898.36 and 65,642.96

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Solution

The fourth proportional to 205,916.88, 308,898.36 and 65,642.96 is: 98,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,916.88 : 308,898.36 = 65,642.96 : x
  2. Step 2: Convert to fraction form
    205,916.88/308,898.36 = 65,642.96/x
  3. Step 3: Cross multiply
    205,916.88x = 308,898.36 × 65,642.96
  4. Step 4: Simplify right side
    205,916.88x = 20,277,002,689.55
  5. Step 5: Solve for x
    x = 20,277,002,689.55/205,916.88
  6. Step 6: Final answer
    x = 98,471.78

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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.