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Finding the Fourth Proportional to 70,378.80, 105,586.56 and 30,943.68

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Solution

The fourth proportional to 70,378.80, 105,586.56 and 30,943.68 is: 46,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378.80 : 105,586.56 = 30,943.68 : x
  2. Step 2: Convert to fraction form
    70,378.80/105,586.56 = 30,943.68/x
  3. Step 3: Cross multiply
    70,378.80x = 105,586.56 × 30,943.68
  4. Step 4: Simplify right side
    70,378.80x = 3,267,236,724.94
  5. Step 5: Solve for x
    x = 3,267,236,724.94/70,378.80
  6. Step 6: Final answer
    x = 46,423.59

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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.