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Finding the Fourth Proportional to 195,209, 269,388.42 and 105,785

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Solution

The fourth proportional to 195,209, 269,388.42 and 105,785 is: 145,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,209 : 269,388.42 = 105,785 : x
  2. Step 2: Convert to fraction form
    195,209/269,388.42 = 105,785/x
  3. Step 3: Cross multiply
    195,209x = 269,388.42 × 105,785
  4. Step 4: Simplify right side
    195,209x = 28,497,254,009.70
  5. Step 5: Solve for x
    x = 28,497,254,009.70/195,209
  6. Step 6: Final answer
    x = 145,983.30

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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.