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Finding the Fourth Proportional to 50,725, 76,087.68 and 13,789

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Solution

The fourth proportional to 50,725, 76,087.68 and 13,789 is: 20,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,725 : 76,087.68 = 13,789 : x
  2. Step 2: Convert to fraction form
    50,725/76,087.68 = 13,789/x
  3. Step 3: Cross multiply
    50,725x = 76,087.68 × 13,789
  4. Step 4: Simplify right side
    50,725x = 1,049,173,019.52
  5. Step 5: Solve for x
    x = 1,049,173,019.52/50,725
  6. Step 6: Final answer
    x = 20,683.55

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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.