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Finding the Fourth Proportional to 51,295.81, 76,950.47 and 19,285.42

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Solution

The fourth proportional to 51,295.81, 76,950.47 and 19,285.42 is: 28,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,295.81 : 76,950.47 = 19,285.42 : x
  2. Step 2: Convert to fraction form
    51,295.81/76,950.47 = 19,285.42/x
  3. Step 3: Cross multiply
    51,295.81x = 76,950.47 × 19,285.42
  4. Step 4: Simplify right side
    51,295.81x = 1,484,022,133.15
  5. Step 5: Solve for x
    x = 1,484,022,133.15/51,295.81
  6. Step 6: Final answer
    x = 28,930.67

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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.