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Finding the Fourth Proportional to 45,993.76, 68,928.24 and 21,002.82

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Solution

The fourth proportional to 45,993.76, 68,928.24 and 21,002.82 is: 31,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,993.76 : 68,928.24 = 21,002.82 : x
  2. Step 2: Convert to fraction form
    45,993.76/68,928.24 = 21,002.82/x
  3. Step 3: Cross multiply
    45,993.76x = 68,928.24 × 21,002.82
  4. Step 4: Simplify right side
    45,993.76x = 1,447,687,417.64
  5. Step 5: Solve for x
    x = 1,447,687,417.64/45,993.76
  6. Step 6: Final answer
    x = 31,475.74

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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.