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Finding the Fourth Proportional to 109,351.60, 164,027.40 and 82,913.20

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Solution

The fourth proportional to 109,351.60, 164,027.40 and 82,913.20 is: 124,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,351.60 : 164,027.40 = 82,913.20 : x
  2. Step 2: Convert to fraction form
    109,351.60/164,027.40 = 82,913.20/x
  3. Step 3: Cross multiply
    109,351.60x = 164,027.40 × 82,913.20
  4. Step 4: Simplify right side
    109,351.60x = 13,600,036,621.68
  5. Step 5: Solve for x
    x = 13,600,036,621.68/109,351.60
  6. Step 6: Final answer
    x = 124,369.80

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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.