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Finding the Fourth Proportional to 223,872.64, 308,932.16 and 128,383.36

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Solution

The fourth proportional to 223,872.64, 308,932.16 and 128,383.36 is: 177,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,872.64 : 308,932.16 = 128,383.36 : x
  2. Step 2: Convert to fraction form
    223,872.64/308,932.16 = 128,383.36/x
  3. Step 3: Cross multiply
    223,872.64x = 308,932.16 × 128,383.36
  4. Step 4: Simplify right side
    223,872.64x = 39,661,748,712.86
  5. Step 5: Solve for x
    x = 39,661,748,712.86/223,872.64
  6. Step 6: Final answer
    x = 177,162.11

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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.