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Finding the Fourth Proportional to 195,813, 270,222.66 and 106,389

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Solution

The fourth proportional to 195,813, 270,222.66 and 106,389 is: 146,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,813 : 270,222.66 = 106,389 : x
  2. Step 2: Convert to fraction form
    195,813/270,222.66 = 106,389/x
  3. Step 3: Cross multiply
    195,813x = 270,222.66 × 106,389
  4. Step 4: Simplify right side
    195,813x = 28,748,718,574.74
  5. Step 5: Solve for x
    x = 28,748,718,574.74/195,813
  6. Step 6: Final answer
    x = 146,817.21

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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.