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Finding the Fourth Proportional to 50,636, 75,958.32 and 13,700

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Solution

The fourth proportional to 50,636, 75,958.32 and 13,700 is: 20,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,636 : 75,958.32 = 13,700 : x
  2. Step 2: Convert to fraction form
    50,636/75,958.32 = 13,700/x
  3. Step 3: Cross multiply
    50,636x = 75,958.32 × 13,700
  4. Step 4: Simplify right side
    50,636x = 1,040,628,984.00
  5. Step 5: Solve for x
    x = 1,040,628,984.00/50,636
  6. Step 6: Final answer
    x = 20,551.17

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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.