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Finding the Fourth Proportional to 222,728, 307,364.66 and 122,128.16

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Solution

The fourth proportional to 222,728, 307,364.66 and 122,128.16 is: 168,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,728 : 307,364.66 = 122,128.16 : x
  2. Step 2: Convert to fraction form
    222,728/307,364.66 = 122,128.16/x
  3. Step 3: Cross multiply
    222,728x = 307,364.66 × 122,128.16
  4. Step 4: Simplify right side
    222,728x = 37,537,880,374.83
  5. Step 5: Solve for x
    x = 37,537,880,374.83/222,728
  6. Step 6: Final answer
    x = 168,536.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.