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Finding the Fourth Proportional to 312,469.94, 468,729.23 and 102,129.14

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Solution

The fourth proportional to 312,469.94, 468,729.23 and 102,129.14 is: 153,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,469.94 : 468,729.23 = 102,129.14 : x
  2. Step 2: Convert to fraction form
    312,469.94/468,729.23 = 102,129.14/x
  3. Step 3: Cross multiply
    312,469.94x = 468,729.23 × 102,129.14
  4. Step 4: Simplify right side
    312,469.94x = 47,870,913,813.94
  5. Step 5: Solve for x
    x = 47,870,913,813.94/312,469.94
  6. Step 6: Final answer
    x = 153,201.66

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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.