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Finding the Fourth Proportional to 70,481.80, 105,519.62 and 46,813

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Solution

The fourth proportional to 70,481.80, 105,519.62 and 46,813 is: 70,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,481.80 : 105,519.62 = 46,813 : x
  2. Step 2: Convert to fraction form
    70,481.80/105,519.62 = 46,813/x
  3. Step 3: Cross multiply
    70,481.80x = 105,519.62 × 46,813
  4. Step 4: Simplify right side
    70,481.80x = 4,939,689,971.06
  5. Step 5: Solve for x
    x = 4,939,689,971.06/70,481.80
  6. Step 6: Final answer
    x = 70,084.62

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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.