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Finding the Fourth Proportional to 74,165.88, 102,349.32 and 40,174.80

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Solution

The fourth proportional to 74,165.88, 102,349.32 and 40,174.80 is: 55,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,165.88 : 102,349.32 = 40,174.80 : x
  2. Step 2: Convert to fraction form
    74,165.88/102,349.32 = 40,174.80/x
  3. Step 3: Cross multiply
    74,165.88x = 102,349.32 × 40,174.80
  4. Step 4: Simplify right side
    74,165.88x = 4,111,863,461.14
  5. Step 5: Solve for x
    x = 4,111,863,461.14/74,165.88
  6. Step 6: Final answer
    x = 55,441.44

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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.