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Finding the Fourth Proportional to 206,989.56, 310,434.66 and 57,226.50

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Solution

The fourth proportional to 206,989.56, 310,434.66 and 57,226.50 is: 85,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,989.56 : 310,434.66 = 57,226.50 : x
  2. Step 2: Convert to fraction form
    206,989.56/310,434.66 = 57,226.50/x
  3. Step 3: Cross multiply
    206,989.56x = 310,434.66 × 57,226.50
  4. Step 4: Simplify right side
    206,989.56x = 17,765,089,070.49
  5. Step 5: Solve for x
    x = 17,765,089,070.49/206,989.56
  6. Step 6: Final answer
    x = 85,826.01

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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.