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Finding the Fourth Proportional to 51,981.87, 77,910.54 and 20,372.22

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Solution

The fourth proportional to 51,981.87, 77,910.54 and 20,372.22 is: 30,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981.87 : 77,910.54 = 20,372.22 : x
  2. Step 2: Convert to fraction form
    51,981.87/77,910.54 = 20,372.22/x
  3. Step 3: Cross multiply
    51,981.87x = 77,910.54 × 20,372.22
  4. Step 4: Simplify right side
    51,981.87x = 1,587,210,661.20
  5. Step 5: Solve for x
    x = 1,587,210,661.20/51,981.87
  6. Step 6: Final answer
    x = 30,533.93

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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.