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Finding the Fourth Proportional to 172,725.08, 238,361.09 and 100,142.08

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Solution

The fourth proportional to 172,725.08, 238,361.09 and 100,142.08 is: 138,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,725.08 : 238,361.09 = 100,142.08 : x
  2. Step 2: Convert to fraction form
    172,725.08/238,361.09 = 100,142.08/x
  3. Step 3: Cross multiply
    172,725.08x = 238,361.09 × 100,142.08
  4. Step 4: Simplify right side
    172,725.08x = 23,869,975,343.67
  5. Step 5: Solve for x
    x = 23,869,975,343.67/172,725.08
  6. Step 6: Final answer
    x = 138,196.35

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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.