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Finding the Fourth Proportional to 61,285.23, 91,930.86 and 16,911

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Solution

The fourth proportional to 61,285.23, 91,930.86 and 16,911 is: 25,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,285.23 : 91,930.86 = 16,911 : x
  2. Step 2: Convert to fraction form
    61,285.23/91,930.86 = 16,911/x
  3. Step 3: Cross multiply
    61,285.23x = 91,930.86 × 16,911
  4. Step 4: Simplify right side
    61,285.23x = 1,554,642,773.46
  5. Step 5: Solve for x
    x = 1,554,642,773.46/61,285.23
  6. Step 6: Final answer
    x = 25,367.33

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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.