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Finding the Fourth Proportional to 74,186.42, 102,377.32 and 40,652.42

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Solution

The fourth proportional to 74,186.42, 102,377.32 and 40,652.42 is: 56,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,186.42 : 102,377.32 = 40,652.42 : x
  2. Step 2: Convert to fraction form
    74,186.42/102,377.32 = 40,652.42/x
  3. Step 3: Cross multiply
    74,186.42x = 102,377.32 × 40,652.42
  4. Step 4: Simplify right side
    74,186.42x = 4,161,885,197.60
  5. Step 5: Solve for x
    x = 4,161,885,197.60/74,186.42
  6. Step 6: Final answer
    x = 56,100.37

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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.