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Finding the Fourth Proportional to 50,191, 75,291.60 and 13,255

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Solution

The fourth proportional to 50,191, 75,291.60 and 13,255 is: 19,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,191 : 75,291.60 = 13,255 : x
  2. Step 2: Convert to fraction form
    50,191/75,291.60 = 13,255/x
  3. Step 3: Cross multiply
    50,191x = 75,291.60 × 13,255
  4. Step 4: Simplify right side
    50,191x = 997,990,158.00
  5. Step 5: Solve for x
    x = 997,990,158.00/50,191
  6. Step 6: Final answer
    x = 19,883.85

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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.