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Finding the Fourth Proportional to 142,993.92, 197,334.21 and 78,466.48

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Solution

The fourth proportional to 142,993.92, 197,334.21 and 78,466.48 is: 108,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,993.92 : 197,334.21 = 78,466.48 : x
  2. Step 2: Convert to fraction form
    142,993.92/197,334.21 = 78,466.48/x
  3. Step 3: Cross multiply
    142,993.92x = 197,334.21 × 78,466.48
  4. Step 4: Simplify right side
    142,993.92x = 15,484,120,842.28
  5. Step 5: Solve for x
    x = 15,484,120,842.28/142,993.92
  6. Step 6: Final answer
    x = 108,285.17

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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.