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Finding the Fourth Proportional to 142,382.64, 213,703.32 and 75,879.60

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Solution

The fourth proportional to 142,382.64, 213,703.32 and 75,879.60 is: 113,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,382.64 : 213,703.32 = 75,879.60 : x
  2. Step 2: Convert to fraction form
    142,382.64/213,703.32 = 75,879.60/x
  3. Step 3: Cross multiply
    142,382.64x = 213,703.32 × 75,879.60
  4. Step 4: Simplify right side
    142,382.64x = 16,215,722,440.27
  5. Step 5: Solve for x
    x = 16,215,722,440.27/142,382.64
  6. Step 6: Final answer
    x = 113,888.34

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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.