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Finding the Fourth Proportional to 70,376.80, 105,370.80 and 54,824.80

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Solution

The fourth proportional to 70,376.80, 105,370.80 and 54,824.80 is: 82,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,376.80 : 105,370.80 = 54,824.80 : x
  2. Step 2: Convert to fraction form
    70,376.80/105,370.80 = 54,824.80/x
  3. Step 3: Cross multiply
    70,376.80x = 105,370.80 × 54,824.80
  4. Step 4: Simplify right side
    70,376.80x = 5,776,933,035.84
  5. Step 5: Solve for x
    x = 5,776,933,035.84/70,376.80
  6. Step 6: Final answer
    x = 82,085.76

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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.