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Finding the Fourth Proportional to 216,019.92, 298,093.32 and 135,444

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Solution

The fourth proportional to 216,019.92, 298,093.32 and 135,444 is: 186,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,019.92 : 298,093.32 = 135,444 : x
  2. Step 2: Convert to fraction form
    216,019.92/298,093.32 = 135,444/x
  3. Step 3: Cross multiply
    216,019.92x = 298,093.32 × 135,444
  4. Step 4: Simplify right side
    216,019.92x = 40,374,951,634.08
  5. Step 5: Solve for x
    x = 40,374,951,634.08/216,019.92
  6. Step 6: Final answer
    x = 186,903.84

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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.