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Finding the Fourth Proportional to 70,392.84, 105,603.06 and 30,949.86

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Solution

The fourth proportional to 70,392.84, 105,603.06 and 30,949.86 is: 46,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,392.84 : 105,603.06 = 30,949.86 : x
  2. Step 2: Convert to fraction form
    70,392.84/105,603.06 = 30,949.86/x
  3. Step 3: Cross multiply
    70,392.84x = 105,603.06 × 30,949.86
  4. Step 4: Simplify right side
    70,392.84x = 3,268,399,922.57
  5. Step 5: Solve for x
    x = 3,268,399,922.57/70,392.84
  6. Step 6: Final answer
    x = 46,430.86

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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.