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Finding the Fourth Proportional to 51,621, 77,379.21 and 34,982.72

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Solution

The fourth proportional to 51,621, 77,379.21 and 34,982.72 is: 52,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,621 : 77,379.21 = 34,982.72 : x
  2. Step 2: Convert to fraction form
    51,621/77,379.21 = 34,982.72/x
  3. Step 3: Cross multiply
    51,621x = 77,379.21 × 34,982.72
  4. Step 4: Simplify right side
    51,621x = 2,706,935,237.25
  5. Step 5: Solve for x
    x = 2,706,935,237.25/51,621
  6. Step 6: Final answer
    x = 52,438.64

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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.