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Finding the Fourth Proportional to 228,012.93, 342,033.50 and 76,223.67

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Solution

The fourth proportional to 228,012.93, 342,033.50 and 76,223.67 is: 114,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,012.93 : 342,033.50 = 76,223.67 : x
  2. Step 2: Convert to fraction form
    228,012.93/342,033.50 = 76,223.67/x
  3. Step 3: Cross multiply
    228,012.93x = 342,033.50 × 76,223.67
  4. Step 4: Simplify right side
    228,012.93x = 26,071,048,632.95
  5. Step 5: Solve for x
    x = 26,071,048,632.95/228,012.93
  6. Step 6: Final answer
    x = 114,340.22

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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.