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Finding the Fourth Proportional to 70,021.95, 105,046.58 and 22,648.78

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Solution

The fourth proportional to 70,021.95, 105,046.58 and 22,648.78 is: 33,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,021.95 : 105,046.58 = 22,648.78 : x
  2. Step 2: Convert to fraction form
    70,021.95/105,046.58 = 22,648.78/x
  3. Step 3: Cross multiply
    70,021.95x = 105,046.58 × 22,648.78
  4. Step 4: Simplify right side
    70,021.95x = 2,379,176,880.17
  5. Step 5: Solve for x
    x = 2,379,176,880.17/70,021.95
  6. Step 6: Final answer
    x = 33,977.59

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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.