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Finding the Fourth Proportional to 81,970.70, 122,970.45 and 29,410.70

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Solution

The fourth proportional to 81,970.70, 122,970.45 and 29,410.70 is: 44,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,970.70 : 122,970.45 = 29,410.70 : x
  2. Step 2: Convert to fraction form
    81,970.70/122,970.45 = 29,410.70/x
  3. Step 3: Cross multiply
    81,970.70x = 122,970.45 × 29,410.70
  4. Step 4: Simplify right side
    81,970.70x = 3,616,647,013.82
  5. Step 5: Solve for x
    x = 3,616,647,013.82/81,970.70
  6. Step 6: Final answer
    x = 44,121.22

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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.