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Finding the Fourth Proportional to 51,660.61, 77,480.64 and 14,211

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Solution

The fourth proportional to 51,660.61, 77,480.64 and 14,211 is: 21,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,660.61 : 77,480.64 = 14,211 : x
  2. Step 2: Convert to fraction form
    51,660.61/77,480.64 = 14,211/x
  3. Step 3: Cross multiply
    51,660.61x = 77,480.64 × 14,211
  4. Step 4: Simplify right side
    51,660.61x = 1,101,077,375.04
  5. Step 5: Solve for x
    x = 1,101,077,375.04/51,660.61
  6. Step 6: Final answer
    x = 21,313.67

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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.