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Finding the Fourth Proportional to 51,202.50, 76,803.75 and 12,290.50

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Solution

The fourth proportional to 51,202.50, 76,803.75 and 12,290.50 is: 18,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,202.50 : 76,803.75 = 12,290.50 : x
  2. Step 2: Convert to fraction form
    51,202.50/76,803.75 = 12,290.50/x
  3. Step 3: Cross multiply
    51,202.50x = 76,803.75 × 12,290.50
  4. Step 4: Simplify right side
    51,202.50x = 943,956,489.38
  5. Step 5: Solve for x
    x = 943,956,489.38/51,202.50
  6. Step 6: Final answer
    x = 18,435.75

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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.