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Finding the Fourth Proportional to 195,645, 269,991.12 and 115,075.92

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Solution

The fourth proportional to 195,645, 269,991.12 and 115,075.92 is: 158,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,645 : 269,991.12 = 115,075.92 : x
  2. Step 2: Convert to fraction form
    195,645/269,991.12 = 115,075.92/x
  3. Step 3: Cross multiply
    195,645x = 269,991.12 × 115,075.92
  4. Step 4: Simplify right side
    195,645x = 31,069,476,525.83
  5. Step 5: Solve for x
    x = 31,069,476,525.83/195,645
  6. Step 6: Final answer
    x = 158,805.37

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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.