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Finding the Fourth Proportional to 78,426, 117,639 and 23,022

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Solution

The fourth proportional to 78,426, 117,639 and 23,022 is: 34,533

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,426 : 117,639 = 23,022 : x
  2. Step 2: Convert to fraction form
    78,426/117,639 = 23,022/x
  3. Step 3: Cross multiply
    78,426x = 117,639 × 23,022
  4. Step 4: Simplify right side
    78,426x = 2,708,285,058
  5. Step 5: Solve for x
    x = 2,708,285,058/78,426
  6. Step 6: Final answer
    x = 34,533

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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.