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Finding the Fourth Proportional to 135,201.86, 186,562.19 and 74,764.27

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Solution

The fourth proportional to 135,201.86, 186,562.19 and 74,764.27 is: 103,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,201.86 : 186,562.19 = 74,764.27 : x
  2. Step 2: Convert to fraction form
    135,201.86/186,562.19 = 74,764.27/x
  3. Step 3: Cross multiply
    135,201.86x = 186,562.19 × 74,764.27
  4. Step 4: Simplify right side
    135,201.86x = 13,948,184,895.10
  5. Step 5: Solve for x
    x = 13,948,184,895.10/135,201.86
  6. Step 6: Final answer
    x = 103,165.63

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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.