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Finding the Fourth Proportional to 74,690.25, 103,071.22 and 40,698.96

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Solution

The fourth proportional to 74,690.25, 103,071.22 and 40,698.96 is: 56,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,690.25 : 103,071.22 = 40,698.96 : x
  2. Step 2: Convert to fraction form
    74,690.25/103,071.22 = 40,698.96/x
  3. Step 3: Cross multiply
    74,690.25x = 103,071.22 × 40,698.96
  4. Step 4: Simplify right side
    74,690.25x = 4,194,891,459.93
  5. Step 5: Solve for x
    x = 4,194,891,459.93/74,690.25
  6. Step 6: Final answer
    x = 56,163.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.