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Finding the Fourth Proportional to 105,678, 158,405.28 and 39,075.36

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Solution

The fourth proportional to 105,678, 158,405.28 and 39,075.36 is: 58,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,678 : 158,405.28 = 39,075.36 : x
  2. Step 2: Convert to fraction form
    105,678/158,405.28 = 39,075.36/x
  3. Step 3: Cross multiply
    105,678x = 158,405.28 × 39,075.36
  4. Step 4: Simplify right side
    105,678x = 6,189,743,341.90
  5. Step 5: Solve for x
    x = 6,189,743,341.90/105,678
  6. Step 6: Final answer
    x = 58,571.73

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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.