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Finding the Fourth Proportional to 50,698.80, 76,051.80 and 15,638.40

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Solution

The fourth proportional to 50,698.80, 76,051.80 and 15,638.40 is: 23,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.80 : 76,051.80 = 15,638.40 : x
  2. Step 2: Convert to fraction form
    50,698.80/76,051.80 = 15,638.40/x
  3. Step 3: Cross multiply
    50,698.80x = 76,051.80 × 15,638.40
  4. Step 4: Simplify right side
    50,698.80x = 1,189,328,469.12
  5. Step 5: Solve for x
    x = 1,189,328,469.12/50,698.80
  6. Step 6: Final answer
    x = 23,458.71

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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.