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Finding the Fourth Proportional to 36,205.71, 49,963.79 and 20,290.16

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Solution

The fourth proportional to 36,205.71, 49,963.79 and 20,290.16 is: 28,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.71 : 49,963.79 = 20,290.16 : x
  2. Step 2: Convert to fraction form
    36,205.71/49,963.79 = 20,290.16/x
  3. Step 3: Cross multiply
    36,205.71x = 49,963.79 × 20,290.16
  4. Step 4: Simplify right side
    36,205.71x = 1,013,772,942.04
  5. Step 5: Solve for x
    x = 1,013,772,942.04/36,205.71
  6. Step 6: Final answer
    x = 28,000.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.