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Finding the Fourth Proportional to 55,726.50, 76,903.92 and 30,576

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Solution

The fourth proportional to 55,726.50, 76,903.92 and 30,576 is: 42,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,726.50 : 76,903.92 = 30,576 : x
  2. Step 2: Convert to fraction form
    55,726.50/76,903.92 = 30,576/x
  3. Step 3: Cross multiply
    55,726.50x = 76,903.92 × 30,576
  4. Step 4: Simplify right side
    55,726.50x = 2,351,414,257.92
  5. Step 5: Solve for x
    x = 2,351,414,257.92/55,726.50
  6. Step 6: Final answer
    x = 42,195.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.