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Finding the Fourth Proportional to 222,050.16, 306,431.64 and 121,446

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Solution

The fourth proportional to 222,050.16, 306,431.64 and 121,446 is: 167,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,050.16 : 306,431.64 = 121,446 : x
  2. Step 2: Convert to fraction form
    222,050.16/306,431.64 = 121,446/x
  3. Step 3: Cross multiply
    222,050.16x = 306,431.64 × 121,446
  4. Step 4: Simplify right side
    222,050.16x = 37,214,896,951.44
  5. Step 5: Solve for x
    x = 37,214,896,951.44/222,050.16
  6. Step 6: Final answer
    x = 167,596.80

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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.