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Finding the Fourth Proportional to 209,964.66, 289,796.40 and 123,891.66

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Solution

The fourth proportional to 209,964.66, 289,796.40 and 123,891.66 is: 170,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,964.66 : 289,796.40 = 123,891.66 : x
  2. Step 2: Convert to fraction form
    209,964.66/289,796.40 = 123,891.66/x
  3. Step 3: Cross multiply
    209,964.66x = 289,796.40 × 123,891.66
  4. Step 4: Simplify right side
    209,964.66x = 35,903,357,058.02
  5. Step 5: Solve for x
    x = 35,903,357,058.02/209,964.66
  6. Step 6: Final answer
    x = 170,997.14

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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.