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Finding the Fourth Proportional to 51,980.54, 77,979.22 and 20,373.46

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Solution

The fourth proportional to 51,980.54, 77,979.22 and 20,373.46 is: 30,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.54 : 77,979.22 = 20,373.46 : x
  2. Step 2: Convert to fraction form
    51,980.54/77,979.22 = 20,373.46/x
  3. Step 3: Cross multiply
    51,980.54x = 77,979.22 × 20,373.46
  4. Step 4: Simplify right side
    51,980.54x = 1,588,706,519.50
  5. Step 5: Solve for x
    x = 1,588,706,519.50/51,980.54
  6. Step 6: Final answer
    x = 30,563.49

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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.