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Finding the Fourth Proportional to 45,931.96, 68,889.84 and 12,643.96

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Solution

The fourth proportional to 45,931.96, 68,889.84 and 12,643.96 is: 18,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,931.96 : 68,889.84 = 12,643.96 : x
  2. Step 2: Convert to fraction form
    45,931.96/68,889.84 = 12,643.96/x
  3. Step 3: Cross multiply
    45,931.96x = 68,889.84 × 12,643.96
  4. Step 4: Simplify right side
    45,931.96x = 871,040,381.37
  5. Step 5: Solve for x
    x = 871,040,381.37/45,931.96
  6. Step 6: Final answer
    x = 18,963.71

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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.