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Finding the Fourth Proportional to 195,330, 269,555.40 and 105,906

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Solution

The fourth proportional to 195,330, 269,555.40 and 105,906 is: 146,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,330 : 269,555.40 = 105,906 : x
  2. Step 2: Convert to fraction form
    195,330/269,555.40 = 105,906/x
  3. Step 3: Cross multiply
    195,330x = 269,555.40 × 105,906
  4. Step 4: Simplify right side
    195,330x = 28,547,534,192.40
  5. Step 5: Solve for x
    x = 28,547,534,192.40/195,330
  6. Step 6: Final answer
    x = 146,150.28

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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.