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Finding the Fourth Proportional to 195,643, 269,988.42 and 106,219

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Solution

The fourth proportional to 195,643, 269,988.42 and 106,219 is: 146,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,643 : 269,988.42 = 106,219 : x
  2. Step 2: Convert to fraction form
    195,643/269,988.42 = 106,219/x
  3. Step 3: Cross multiply
    195,643x = 269,988.42 × 106,219
  4. Step 4: Simplify right side
    195,643x = 28,677,899,983.98
  5. Step 5: Solve for x
    x = 28,677,899,983.98/195,643
  6. Step 6: Final answer
    x = 146,582.81

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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.