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Finding the Fourth Proportional to 195,219, 269,402.40 and 105,795

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Solution

The fourth proportional to 195,219, 269,402.40 and 105,795 is: 145,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,219 : 269,402.40 = 105,795 : x
  2. Step 2: Convert to fraction form
    195,219/269,402.40 = 105,795/x
  3. Step 3: Cross multiply
    195,219x = 269,402.40 × 105,795
  4. Step 4: Simplify right side
    195,219x = 28,501,426,908.00
  5. Step 5: Solve for x
    x = 28,501,426,908.00/195,219
  6. Step 6: Final answer
    x = 145,997.20

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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.