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Finding the Fourth Proportional to 172,478, 258,717 and 47,819

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Solution

The fourth proportional to 172,478, 258,717 and 47,819 is: 71,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,478 : 258,717 = 47,819 : x
  2. Step 2: Convert to fraction form
    172,478/258,717 = 47,819/x
  3. Step 3: Cross multiply
    172,478x = 258,717 × 47,819
  4. Step 4: Simplify right side
    172,478x = 12,371,588,223
  5. Step 5: Solve for x
    x = 12,371,588,223/172,478
  6. Step 6: Final answer
    x = 71,728.50

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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.