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Finding the Fourth Proportional to 223,833.65, 309,004.54 and 172,731.56

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Solution

The fourth proportional to 223,833.65, 309,004.54 and 172,731.56 is: 238,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,833.65 : 309,004.54 = 172,731.56 : x
  2. Step 2: Convert to fraction form
    223,833.65/309,004.54 = 172,731.56/x
  3. Step 3: Cross multiply
    223,833.65x = 309,004.54 × 172,731.56
  4. Step 4: Simplify right side
    223,833.65x = 53,374,836,241.28
  5. Step 5: Solve for x
    x = 53,374,836,241.28/223,833.65
  6. Step 6: Final answer
    x = 238,457.61

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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.