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Finding the Fourth Proportional to 140,615.28, 210,879.47 and 40,782.82

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Solution

The fourth proportional to 140,615.28, 210,879.47 and 40,782.82 is: 61,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,615.28 : 210,879.47 = 40,782.82 : x
  2. Step 2: Convert to fraction form
    140,615.28/210,879.47 = 40,782.82/x
  3. Step 3: Cross multiply
    140,615.28x = 210,879.47 × 40,782.82
  4. Step 4: Simplify right side
    140,615.28x = 8,600,258,208.39
  5. Step 5: Solve for x
    x = 8,600,258,208.39/140,615.28
  6. Step 6: Final answer
    x = 61,161.62

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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.