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Finding the Fourth Proportional to 223,320.72, 308,189.16 and 127,858.08

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Solution

The fourth proportional to 223,320.72, 308,189.16 and 127,858.08 is: 176,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,320.72 : 308,189.16 = 127,858.08 : x
  2. Step 2: Convert to fraction form
    223,320.72/308,189.16 = 127,858.08/x
  3. Step 3: Cross multiply
    223,320.72x = 308,189.16 × 127,858.08
  4. Step 4: Simplify right side
    223,320.72x = 39,404,474,274.41
  5. Step 5: Solve for x
    x = 39,404,474,274.41/223,320.72
  6. Step 6: Final answer
    x = 176,447.91

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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.