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Finding the Fourth Proportional to 172,914.30, 259,371.45 and 137,922.30

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Solution

The fourth proportional to 172,914.30, 259,371.45 and 137,922.30 is: 206,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,914.30 : 259,371.45 = 137,922.30 : x
  2. Step 2: Convert to fraction form
    172,914.30/259,371.45 = 137,922.30/x
  3. Step 3: Cross multiply
    172,914.30x = 259,371.45 × 137,922.30
  4. Step 4: Simplify right side
    172,914.30x = 35,773,106,938.34
  5. Step 5: Solve for x
    x = 35,773,106,938.34/172,914.30
  6. Step 6: Final answer
    x = 206,883.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.