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Finding the Fourth Proportional to 105,494.58, 158,194 and 45,494.68

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Solution

The fourth proportional to 105,494.58, 158,194 and 45,494.68 is: 68,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,494.58 : 158,194 = 45,494.68 : x
  2. Step 2: Convert to fraction form
    105,494.58/158,194 = 45,494.68/x
  3. Step 3: Cross multiply
    105,494.58x = 158,194 × 45,494.68
  4. Step 4: Simplify right side
    105,494.58x = 7,196,985,407.92
  5. Step 5: Solve for x
    x = 7,196,985,407.92/105,494.58
  6. Step 6: Final answer
    x = 68,221.38

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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.