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Finding the Fourth Proportional to 66,978, 92,430 and 41,842.08

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Solution

The fourth proportional to 66,978, 92,430 and 41,842.08 is: 57,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978 : 92,430 = 41,842.08 : x
  2. Step 2: Convert to fraction form
    66,978/92,430 = 41,842.08/x
  3. Step 3: Cross multiply
    66,978x = 92,430 × 41,842.08
  4. Step 4: Simplify right side
    66,978x = 3,867,463,454.40
  5. Step 5: Solve for x
    x = 3,867,463,454.40/66,978
  6. Step 6: Final answer
    x = 57,742.30

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