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Finding the Fourth Proportional to 230,447.58, 345,670.94 and 90,107.78

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Solution

The fourth proportional to 230,447.58, 345,670.94 and 90,107.78 is: 135,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,447.58 : 345,670.94 = 90,107.78 : x
  2. Step 2: Convert to fraction form
    230,447.58/345,670.94 = 90,107.78/x
  3. Step 3: Cross multiply
    230,447.58x = 345,670.94 × 90,107.78
  4. Step 4: Simplify right side
    230,447.58x = 31,147,641,013.91
  5. Step 5: Solve for x
    x = 31,147,641,013.91/230,447.58
  6. Step 6: Final answer
    x = 135,161.50

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1.5x scale

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.