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Finding the Fourth Proportional to 202,142.54, 303,283.73 and 69,116.45

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Solution

The fourth proportional to 202,142.54, 303,283.73 and 69,116.45 is: 103,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.54 : 303,283.73 = 69,116.45 : x
  2. Step 2: Convert to fraction form
    202,142.54/303,283.73 = 69,116.45/x
  3. Step 3: Cross multiply
    202,142.54x = 303,283.73 × 69,116.45
  4. Step 4: Simplify right side
    202,142.54x = 20,961,893,416.73
  5. Step 5: Solve for x
    x = 20,961,893,416.73/202,142.54
  6. Step 6: Final answer
    x = 103,698.57

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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.