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Finding the Fourth Proportional to 143,055.54, 197,409.60 and 78,523.20

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Solution

The fourth proportional to 143,055.54, 197,409.60 and 78,523.20 is: 108,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,055.54 : 197,409.60 = 78,523.20 : x
  2. Step 2: Convert to fraction form
    143,055.54/197,409.60 = 78,523.20/x
  3. Step 3: Cross multiply
    143,055.54x = 197,409.60 × 78,523.20
  4. Step 4: Simplify right side
    143,055.54x = 15,501,233,502.72
  5. Step 5: Solve for x
    x = 15,501,233,502.72/143,055.54
  6. Step 6: Final answer
    x = 108,358.15

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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.