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Finding the Fourth Proportional to 195,745, 270,128.37 and 106,321

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Solution

The fourth proportional to 195,745, 270,128.37 and 106,321 is: 146,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,745 : 270,128.37 = 106,321 : x
  2. Step 2: Convert to fraction form
    195,745/270,128.37 = 106,321/x
  3. Step 3: Cross multiply
    195,745x = 270,128.37 × 106,321
  4. Step 4: Simplify right side
    195,745x = 28,720,318,426.77
  5. Step 5: Solve for x
    x = 28,720,318,426.77/195,745
  6. Step 6: Final answer
    x = 146,723.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.