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Finding the Fourth Proportional to 202,400.72, 303,605.24 and 69,433.84

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Solution

The fourth proportional to 202,400.72, 303,605.24 and 69,433.84 is: 104,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,400.72 : 303,605.24 = 69,433.84 : x
  2. Step 2: Convert to fraction form
    202,400.72/303,605.24 = 69,433.84/x
  3. Step 3: Cross multiply
    202,400.72x = 303,605.24 × 69,433.84
  4. Step 4: Simplify right side
    202,400.72x = 21,080,477,657.32
  5. Step 5: Solve for x
    x = 21,080,477,657.32/202,400.72
  6. Step 6: Final answer
    x = 104,152.19

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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.