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Finding the Fourth Proportional to 105,613.74, 158,181.25 and 74,164.68

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Solution

The fourth proportional to 105,613.74, 158,181.25 and 74,164.68 is: 111,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,613.74 : 158,181.25 = 74,164.68 : x
  2. Step 2: Convert to fraction form
    105,613.74/158,181.25 = 74,164.68/x
  3. Step 3: Cross multiply
    105,613.74x = 158,181.25 × 74,164.68
  4. Step 4: Simplify right side
    105,613.74x = 11,731,461,788.25
  5. Step 5: Solve for x
    x = 11,731,461,788.25/105,613.74
  6. Step 6: Final answer
    x = 111,078.94

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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.