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Finding the Fourth Proportional to 136,994, 205,491 and 38,498

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Solution

The fourth proportional to 136,994, 205,491 and 38,498 is: 57,747

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,994 : 205,491 = 38,498 : x
  2. Step 2: Convert to fraction form
    136,994/205,491 = 38,498/x
  3. Step 3: Cross multiply
    136,994x = 205,491 × 38,498
  4. Step 4: Simplify right side
    136,994x = 7,910,992,518
  5. Step 5: Solve for x
    x = 7,910,992,518/136,994
  6. Step 6: Final answer
    x = 57,747

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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.