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Finding the Fourth Proportional to 223,887, 308,964.06 and 123,285

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Solution

The fourth proportional to 223,887, 308,964.06 and 123,285 is: 170,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,887 : 308,964.06 = 123,285 : x
  2. Step 2: Convert to fraction form
    223,887/308,964.06 = 123,285/x
  3. Step 3: Cross multiply
    223,887x = 308,964.06 × 123,285
  4. Step 4: Simplify right side
    223,887x = 38,090,634,137.10
  5. Step 5: Solve for x
    x = 38,090,634,137.10/223,887
  6. Step 6: Final answer
    x = 170,133.30

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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.