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Finding the Fourth Proportional to 142,295.96, 196,360.70 and 78,629.64

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Solution

The fourth proportional to 142,295.96, 196,360.70 and 78,629.64 is: 108,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,295.96 : 196,360.70 = 78,629.64 : x
  2. Step 2: Convert to fraction form
    142,295.96/196,360.70 = 78,629.64/x
  3. Step 3: Cross multiply
    142,295.96x = 196,360.70 × 78,629.64
  4. Step 4: Simplify right side
    142,295.96x = 15,439,771,151.15
  5. Step 5: Solve for x
    x = 15,439,771,151.15/142,295.96
  6. Step 6: Final answer
    x = 108,504.63

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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.