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Finding the Fourth Proportional to 172,512, 258,768 and 47,853

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Solution

The fourth proportional to 172,512, 258,768 and 47,853 is: 71,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,512 : 258,768 = 47,853 : x
  2. Step 2: Convert to fraction form
    172,512/258,768 = 47,853/x
  3. Step 3: Cross multiply
    172,512x = 258,768 × 47,853
  4. Step 4: Simplify right side
    172,512x = 12,382,825,104
  5. Step 5: Solve for x
    x = 12,382,825,104/172,512
  6. Step 6: Final answer
    x = 71,779.50

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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.