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Finding the Fourth Proportional to 70,434.70, 105,664.35 and 30,990.79

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Solution

The fourth proportional to 70,434.70, 105,664.35 and 30,990.79 is: 46,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434.70 : 105,664.35 = 30,990.79 : x
  2. Step 2: Convert to fraction form
    70,434.70/105,664.35 = 30,990.79/x
  3. Step 3: Cross multiply
    70,434.70x = 105,664.35 × 30,990.79
  4. Step 4: Simplify right side
    70,434.70x = 3,274,621,160.95
  5. Step 5: Solve for x
    x = 3,274,621,160.95/70,434.70
  6. Step 6: Final answer
    x = 46,491.59

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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.