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Finding the Fourth Proportional to 136,744.12, 205,039.12 and 105,075.64

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Solution

The fourth proportional to 136,744.12, 205,039.12 and 105,075.64 is: 157,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,744.12 : 205,039.12 = 105,075.64 : x
  2. Step 2: Convert to fraction form
    136,744.12/205,039.12 = 105,075.64/x
  3. Step 3: Cross multiply
    136,744.12x = 205,039.12 × 105,075.64
  4. Step 4: Simplify right side
    136,744.12x = 21,544,616,759.04
  5. Step 5: Solve for x
    x = 21,544,616,759.04/136,744.12
  6. Step 6: Final answer
    x = 157,554.25

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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.