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Finding the Fourth Proportional to 69,966, 104,966.76 and 20,718

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Solution

The fourth proportional to 69,966, 104,966.76 and 20,718 is: 31,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,966 : 104,966.76 = 20,718 : x
  2. Step 2: Convert to fraction form
    69,966/104,966.76 = 20,718/x
  3. Step 3: Cross multiply
    69,966x = 104,966.76 × 20,718
  4. Step 4: Simplify right side
    69,966x = 2,174,701,333.68
  5. Step 5: Solve for x
    x = 2,174,701,333.68/69,966
  6. Step 6: Final answer
    x = 31,082.26

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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.