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Finding the Fourth Proportional to 138,004.80, 207,007.20 and 122,971.20

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Solution

The fourth proportional to 138,004.80, 207,007.20 and 122,971.20 is: 184,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,004.80 : 207,007.20 = 122,971.20 : x
  2. Step 2: Convert to fraction form
    138,004.80/207,007.20 = 122,971.20/x
  3. Step 3: Cross multiply
    138,004.80x = 207,007.20 × 122,971.20
  4. Step 4: Simplify right side
    138,004.80x = 25,455,923,792.64
  5. Step 5: Solve for x
    x = 25,455,923,792.64/138,004.80
  6. Step 6: Final answer
    x = 184,456.80

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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.