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Finding the Fourth Proportional to 50,211, 75,316.68 and 13,275

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Solution

The fourth proportional to 50,211, 75,316.68 and 13,275 is: 19,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,211 : 75,316.68 = 13,275 : x
  2. Step 2: Convert to fraction form
    50,211/75,316.68 = 13,275/x
  3. Step 3: Cross multiply
    50,211x = 75,316.68 × 13,275
  4. Step 4: Simplify right side
    50,211x = 999,828,927.00
  5. Step 5: Solve for x
    x = 999,828,927.00/50,211
  6. Step 6: Final answer
    x = 19,912.55

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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.