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Finding the Fourth Proportional to 51,855.94, 77,718.30 and 33,128.74

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Solution

The fourth proportional to 51,855.94, 77,718.30 and 33,128.74 is: 49,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.94 : 77,718.30 = 33,128.74 : x
  2. Step 2: Convert to fraction form
    51,855.94/77,718.30 = 33,128.74/x
  3. Step 3: Cross multiply
    51,855.94x = 77,718.30 × 33,128.74
  4. Step 4: Simplify right side
    51,855.94x = 2,574,709,353.94
  5. Step 5: Solve for x
    x = 2,574,709,353.94/51,855.94
  6. Step 6: Final answer
    x = 49,651.19

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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.