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Finding the Fourth Proportional to 50,679, 76,018.77 and 13,743

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Solution

The fourth proportional to 50,679, 76,018.77 and 13,743 is: 20,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,679 : 76,018.77 = 13,743 : x
  2. Step 2: Convert to fraction form
    50,679/76,018.77 = 13,743/x
  3. Step 3: Cross multiply
    50,679x = 76,018.77 × 13,743
  4. Step 4: Simplify right side
    50,679x = 1,044,725,956.11
  5. Step 5: Solve for x
    x = 1,044,725,956.11/50,679
  6. Step 6: Final answer
    x = 20,614.57

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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.