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Finding the Fourth Proportional to 70,166.75, 105,266.52 and 47,990.57

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Solution

The fourth proportional to 70,166.75, 105,266.52 and 47,990.57 is: 71,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,166.75 : 105,266.52 = 47,990.57 : x
  2. Step 2: Convert to fraction form
    70,166.75/105,266.52 = 47,990.57/x
  3. Step 3: Cross multiply
    70,166.75x = 105,266.52 × 47,990.57
  4. Step 4: Simplify right side
    70,166.75x = 5,051,799,770.38
  5. Step 5: Solve for x
    x = 5,051,799,770.38/70,166.75
  6. Step 6: Final answer
    x = 71,997.07

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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.