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Finding the Fourth Proportional to 223,696.81, 308,697.02 and 121,724.29

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Solution

The fourth proportional to 223,696.81, 308,697.02 and 121,724.29 is: 167,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,696.81 : 308,697.02 = 121,724.29 : x
  2. Step 2: Convert to fraction form
    223,696.81/308,697.02 = 121,724.29/x
  3. Step 3: Cross multiply
    223,696.81x = 308,697.02 × 121,724.29
  4. Step 4: Simplify right side
    223,696.81x = 37,575,923,432.51
  5. Step 5: Solve for x
    x = 37,575,923,432.51/223,696.81
  6. Step 6: Final answer
    x = 167,977.02

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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.