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Finding the Fourth Proportional to 172,164.31, 258,236.75 and 53,821.69

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Solution

The fourth proportional to 172,164.31, 258,236.75 and 53,821.69 is: 80,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,164.31 : 258,236.75 = 53,821.69 : x
  2. Step 2: Convert to fraction form
    172,164.31/258,236.75 = 53,821.69/x
  3. Step 3: Cross multiply
    172,164.31x = 258,236.75 × 53,821.69
  4. Step 4: Simplify right side
    172,164.31x = 13,898,738,036.00
  5. Step 5: Solve for x
    x = 13,898,738,036.00/172,164.31
  6. Step 6: Final answer
    x = 80,729.50

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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.