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Finding the Fourth Proportional to 51,678.71, 77,382.74 and 33,853.31

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Solution

The fourth proportional to 51,678.71, 77,382.74 and 33,853.31 is: 50,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678.71 : 77,382.74 = 33,853.31 : x
  2. Step 2: Convert to fraction form
    51,678.71/77,382.74 = 33,853.31/x
  3. Step 3: Cross multiply
    51,678.71x = 77,382.74 × 33,853.31
  4. Step 4: Simplify right side
    51,678.71x = 2,619,662,163.96
  5. Step 5: Solve for x
    x = 2,619,662,163.96/51,678.71
  6. Step 6: Final answer
    x = 50,691.32

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1.5x scale

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.