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Finding the Fourth Proportional to 222,732, 307,384.83 and 122,130

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Solution

The fourth proportional to 222,732, 307,384.83 and 122,130 is: 168,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,732 : 307,384.83 = 122,130 : x
  2. Step 2: Convert to fraction form
    222,732/307,384.83 = 122,130/x
  3. Step 3: Cross multiply
    222,732x = 307,384.83 × 122,130
  4. Step 4: Simplify right side
    222,732x = 37,540,909,287.90
  5. Step 5: Solve for x
    x = 37,540,909,287.90/222,732
  6. Step 6: Final answer
    x = 168,547.44

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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.