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Finding the Fourth Proportional to 49,578.40, 74,367.60 and 29,895.40

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Solution

The fourth proportional to 49,578.40, 74,367.60 and 29,895.40 is: 44,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578.40 : 74,367.60 = 29,895.40 : x
  2. Step 2: Convert to fraction form
    49,578.40/74,367.60 = 29,895.40/x
  3. Step 3: Cross multiply
    49,578.40x = 74,367.60 × 29,895.40
  4. Step 4: Simplify right side
    49,578.40x = 2,223,249,149.04
  5. Step 5: Solve for x
    x = 2,223,249,149.04/49,578.40
  6. Step 6: Final answer
    x = 44,843.10

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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.