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Finding the Fourth Proportional to 139,762.64, 192,992.32 and 135,243.60

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Solution

The fourth proportional to 139,762.64, 192,992.32 and 135,243.60 is: 186,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,762.64 : 192,992.32 = 135,243.60 : x
  2. Step 2: Convert to fraction form
    139,762.64/192,992.32 = 135,243.60/x
  3. Step 3: Cross multiply
    139,762.64x = 192,992.32 × 135,243.60
  4. Step 4: Simplify right side
    139,762.64x = 26,100,976,129.15
  5. Step 5: Solve for x
    x = 26,100,976,129.15/139,762.64
  6. Step 6: Final answer
    x = 186,752.17

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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.