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Finding the Fourth Proportional to 49,377.71, 74,075.78 and 19,797.86

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Solution

The fourth proportional to 49,377.71, 74,075.78 and 19,797.86 is: 29,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,377.71 : 74,075.78 = 19,797.86 : x
  2. Step 2: Convert to fraction form
    49,377.71/74,075.78 = 19,797.86/x
  3. Step 3: Cross multiply
    49,377.71x = 74,075.78 × 19,797.86
  4. Step 4: Simplify right side
    49,377.71x = 1,466,541,921.83
  5. Step 5: Solve for x
    x = 1,466,541,921.83/49,377.71
  6. Step 6: Final answer
    x = 29,700.48

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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.