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Finding the Fourth Proportional to 69,684.70, 96,172.95 and 65,409.57

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Solution

The fourth proportional to 69,684.70, 96,172.95 and 65,409.57 is: 90,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684.70 : 96,172.95 = 65,409.57 : x
  2. Step 2: Convert to fraction form
    69,684.70/96,172.95 = 65,409.57/x
  3. Step 3: Cross multiply
    69,684.70x = 96,172.95 × 65,409.57
  4. Step 4: Simplify right side
    69,684.70x = 6,290,631,305.13
  5. Step 5: Solve for x
    x = 6,290,631,305.13/69,684.70
  6. Step 6: Final answer
    x = 90,272.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.