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Finding the Fourth Proportional to 273,230.60, 409,873.24 and 83,688.78

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Solution

The fourth proportional to 273,230.60, 409,873.24 and 83,688.78 is: 125,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,230.60 : 409,873.24 = 83,688.78 : x
  2. Step 2: Convert to fraction form
    273,230.60/409,873.24 = 83,688.78/x
  3. Step 3: Cross multiply
    273,230.60x = 409,873.24 × 83,688.78
  4. Step 4: Simplify right side
    273,230.60x = 34,301,789,664.00
  5. Step 5: Solve for x
    x = 34,301,789,664.00/273,230.60
  6. Step 6: Final answer
    x = 125,541.54

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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.