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Finding the Fourth Proportional to 228,078.81, 342,019.22 and 87,738.93

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Solution

The fourth proportional to 228,078.81, 342,019.22 and 87,738.93 is: 131,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,078.81 : 342,019.22 = 87,738.93 : x
  2. Step 2: Convert to fraction form
    228,078.81/342,019.22 = 87,738.93/x
  3. Step 3: Cross multiply
    228,078.81x = 342,019.22 × 87,738.93
  4. Step 4: Simplify right side
    228,078.81x = 30,008,399,963.54
  5. Step 5: Solve for x
    x = 30,008,399,963.54/228,078.81
  6. Step 6: Final answer
    x = 131,570.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.