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Finding the Fourth Proportional to 223,815.04, 308,906.16 and 128,322.40

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Solution

The fourth proportional to 223,815.04, 308,906.16 and 128,322.40 is: 177,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,815.04 : 308,906.16 = 128,322.40 : x
  2. Step 2: Convert to fraction form
    223,815.04/308,906.16 = 128,322.40/x
  3. Step 3: Cross multiply
    223,815.04x = 308,906.16 × 128,322.40
  4. Step 4: Simplify right side
    223,815.04x = 39,639,579,825.98
  5. Step 5: Solve for x
    x = 39,639,579,825.98/223,815.04
  6. Step 6: Final answer
    x = 177,108.65

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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.