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Finding the Fourth Proportional to 172,474.74, 258,608.43 and 65,865.78

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Solution

The fourth proportional to 172,474.74, 258,608.43 and 65,865.78 is: 98,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,474.74 : 258,608.43 = 65,865.78 : x
  2. Step 2: Convert to fraction form
    172,474.74/258,608.43 = 65,865.78/x
  3. Step 3: Cross multiply
    172,474.74x = 258,608.43 × 65,865.78
  4. Step 4: Simplify right side
    172,474.74x = 17,033,445,956.53
  5. Step 5: Solve for x
    x = 17,033,445,956.53/172,474.74
  6. Step 6: Final answer
    x = 98,759.08

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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.