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Finding the Fourth Proportional to 51,533.80, 77,269.11 and 21,934.78

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Solution

The fourth proportional to 51,533.80, 77,269.11 and 21,934.78 is: 32,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,533.80 : 77,269.11 = 21,934.78 : x
  2. Step 2: Convert to fraction form
    51,533.80/77,269.11 = 21,934.78/x
  3. Step 3: Cross multiply
    51,533.80x = 77,269.11 × 21,934.78
  4. Step 4: Simplify right side
    51,533.80x = 1,694,880,928.65
  5. Step 5: Solve for x
    x = 1,694,880,928.65/51,533.80
  6. Step 6: Final answer
    x = 32,888.72

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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.