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Finding the Fourth Proportional to 222,181.48, 333,303.86 and 81,929.20

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Solution

The fourth proportional to 222,181.48, 333,303.86 and 81,929.20 is: 122,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,181.48 : 333,303.86 = 81,929.20 : x
  2. Step 2: Convert to fraction form
    222,181.48/333,303.86 = 81,929.20/x
  3. Step 3: Cross multiply
    222,181.48x = 333,303.86 × 81,929.20
  4. Step 4: Simplify right side
    222,181.48x = 27,307,318,606.71
  5. Step 5: Solve for x
    x = 27,307,318,606.71/222,181.48
  6. Step 6: Final answer
    x = 122,905.47

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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.