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Finding the Fourth Proportional to 172,075.20, 258,112.80 and 136,645.80

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Solution

The fourth proportional to 172,075.20, 258,112.80 and 136,645.80 is: 204,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,075.20 : 258,112.80 = 136,645.80 : x
  2. Step 2: Convert to fraction form
    172,075.20/258,112.80 = 136,645.80/x
  3. Step 3: Cross multiply
    172,075.20x = 258,112.80 × 136,645.80
  4. Step 4: Simplify right side
    172,075.20x = 35,270,030,046.24
  5. Step 5: Solve for x
    x = 35,270,030,046.24/172,075.20
  6. Step 6: Final answer
    x = 204,968.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.