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Finding the Fourth Proportional to 51,842.35, 77,775.86 and 16,782

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Solution

The fourth proportional to 51,842.35, 77,775.86 and 16,782 is: 25,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.35 : 77,775.86 = 16,782 : x
  2. Step 2: Convert to fraction form
    51,842.35/77,775.86 = 16,782/x
  3. Step 3: Cross multiply
    51,842.35x = 77,775.86 × 16,782
  4. Step 4: Simplify right side
    51,842.35x = 1,305,234,482.52
  5. Step 5: Solve for x
    x = 1,305,234,482.52/51,842.35
  6. Step 6: Final answer
    x = 25,176.99

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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.