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Finding the Fourth Proportional to 172,494, 258,741 and 47,835

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Solution

The fourth proportional to 172,494, 258,741 and 47,835 is: 71,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,494 : 258,741 = 47,835 : x
  2. Step 2: Convert to fraction form
    172,494/258,741 = 47,835/x
  3. Step 3: Cross multiply
    172,494x = 258,741 × 47,835
  4. Step 4: Simplify right side
    172,494x = 12,376,875,735
  5. Step 5: Solve for x
    x = 12,376,875,735/172,494
  6. Step 6: Final answer
    x = 71,752.50

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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.