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Finding the Fourth Proportional to 230,379.54, 345,598.53 and 90,119.94

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Solution

The fourth proportional to 230,379.54, 345,598.53 and 90,119.94 is: 135,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,379.54 : 345,598.53 = 90,119.94 : x
  2. Step 2: Convert to fraction form
    230,379.54/345,598.53 = 90,119.94/x
  3. Step 3: Cross multiply
    230,379.54x = 345,598.53 × 90,119.94
  4. Step 4: Simplify right side
    230,379.54x = 31,145,318,787.69
  5. Step 5: Solve for x
    x = 31,145,318,787.69/230,379.54
  6. Step 6: Final answer
    x = 135,191.34

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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.