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Finding the Fourth Proportional to 43,409.46, 65,151.06 and 30,960

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Solution

The fourth proportional to 43,409.46, 65,151.06 and 30,960 is: 46,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,409.46 : 65,151.06 = 30,960 : x
  2. Step 2: Convert to fraction form
    43,409.46/65,151.06 = 30,960/x
  3. Step 3: Cross multiply
    43,409.46x = 65,151.06 × 30,960
  4. Step 4: Simplify right side
    43,409.46x = 2,017,076,817.60
  5. Step 5: Solve for x
    x = 2,017,076,817.60/43,409.46
  6. Step 6: Final answer
    x = 46,466.30

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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.