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Finding the Fourth Proportional to 106,931.60, 161,012.06 and 82,355.60

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Solution

The fourth proportional to 106,931.60, 161,012.06 and 82,355.60 is: 124,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,931.60 : 161,012.06 = 82,355.60 : x
  2. Step 2: Convert to fraction form
    106,931.60/161,012.06 = 82,355.60/x
  3. Step 3: Cross multiply
    106,931.60x = 161,012.06 × 82,355.60
  4. Step 4: Simplify right side
    106,931.60x = 13,260,244,808.54
  5. Step 5: Solve for x
    x = 13,260,244,808.54/106,931.60
  6. Step 6: Final answer
    x = 124,006.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.