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Finding the Fourth Proportional to 105,473.58, 158,211 and 43,144.08

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Solution

The fourth proportional to 105,473.58, 158,211 and 43,144.08 is: 64,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,473.58 : 158,211 = 43,144.08 : x
  2. Step 2: Convert to fraction form
    105,473.58/158,211 = 43,144.08/x
  3. Step 3: Cross multiply
    105,473.58x = 158,211 × 43,144.08
  4. Step 4: Simplify right side
    105,473.58x = 6,825,868,040.88
  5. Step 5: Solve for x
    x = 6,825,868,040.88/105,473.58
  6. Step 6: Final answer
    x = 64,716.38

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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.