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Finding the Fourth Proportional to 222,256.48, 306,708.24 and 121,648

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Solution

The fourth proportional to 222,256.48, 306,708.24 and 121,648 is: 167,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,256.48 : 306,708.24 = 121,648 : x
  2. Step 2: Convert to fraction form
    222,256.48/306,708.24 = 121,648/x
  3. Step 3: Cross multiply
    222,256.48x = 306,708.24 × 121,648
  4. Step 4: Simplify right side
    222,256.48x = 37,310,443,979.52
  5. Step 5: Solve for x
    x = 37,310,443,979.52/222,256.48
  6. Step 6: Final answer
    x = 167,871.12

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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.