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Finding the Fourth Proportional to 43,409.76, 65,114.72 and 15,701.28

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Solution

The fourth proportional to 43,409.76, 65,114.72 and 15,701.28 is: 23,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,409.76 : 65,114.72 = 15,701.28 : x
  2. Step 2: Convert to fraction form
    43,409.76/65,114.72 = 15,701.28/x
  3. Step 3: Cross multiply
    43,409.76x = 65,114.72 × 15,701.28
  4. Step 4: Simplify right side
    43,409.76x = 1,022,384,450.84
  5. Step 5: Solve for x
    x = 1,022,384,450.84/43,409.76
  6. Step 6: Final answer
    x = 23,551.95

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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.