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Finding the Fourth Proportional to 223,813.72, 308,844.66 and 123,211.72

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Solution

The fourth proportional to 223,813.72, 308,844.66 and 123,211.72 is: 170,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,813.72 : 308,844.66 = 123,211.72 : x
  2. Step 2: Convert to fraction form
    223,813.72/308,844.66 = 123,211.72/x
  3. Step 3: Cross multiply
    223,813.72x = 308,844.66 × 123,211.72
  4. Step 4: Simplify right side
    223,813.72x = 38,053,281,771.42
  5. Step 5: Solve for x
    x = 38,053,281,771.42/223,813.72
  6. Step 6: Final answer
    x = 170,022.11

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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.