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Finding the Fourth Proportional to 222,636, 307,238.40 and 120,663.12

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Solution

The fourth proportional to 222,636, 307,238.40 and 120,663.12 is: 166,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,636 : 307,238.40 = 120,663.12 : x
  2. Step 2: Convert to fraction form
    222,636/307,238.40 = 120,663.12/x
  3. Step 3: Cross multiply
    222,636x = 307,238.40 × 120,663.12
  4. Step 4: Simplify right side
    222,636x = 37,072,343,927.81
  5. Step 5: Solve for x
    x = 37,072,343,927.81/222,636
  6. Step 6: Final answer
    x = 166,515.50

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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.