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Finding the Fourth Proportional to 197,140.80, 295,896.80 and 103,713.60

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Solution

The fourth proportional to 197,140.80, 295,896.80 and 103,713.60 is: 155,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,140.80 : 295,896.80 = 103,713.60 : x
  2. Step 2: Convert to fraction form
    197,140.80/295,896.80 = 103,713.60/x
  3. Step 3: Cross multiply
    197,140.80x = 295,896.80 × 103,713.60
  4. Step 4: Simplify right side
    197,140.80x = 30,688,522,356.48
  5. Step 5: Solve for x
    x = 30,688,522,356.48/197,140.80
  6. Step 6: Final answer
    x = 155,668.04

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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.