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Finding the Fourth Proportional to 112,970, 169,455 and 39,098

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Solution

The fourth proportional to 112,970, 169,455 and 39,098 is: 58,647

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,970 : 169,455 = 39,098 : x
  2. Step 2: Convert to fraction form
    112,970/169,455 = 39,098/x
  3. Step 3: Cross multiply
    112,970x = 169,455 × 39,098
  4. Step 4: Simplify right side
    112,970x = 6,625,351,590
  5. Step 5: Solve for x
    x = 6,625,351,590/112,970
  6. Step 6: Final answer
    x = 58,647

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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.