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Finding the Fourth Proportional to 140,512.86, 210,768.21 and 57,348.54

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Solution

The fourth proportional to 140,512.86, 210,768.21 and 57,348.54 is: 86,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512.86 : 210,768.21 = 57,348.54 : x
  2. Step 2: Convert to fraction form
    140,512.86/210,768.21 = 57,348.54/x
  3. Step 3: Cross multiply
    140,512.86x = 210,768.21 × 57,348.54
  4. Step 4: Simplify right side
    140,512.86x = 12,087,249,121.91
  5. Step 5: Solve for x
    x = 12,087,249,121.91/140,512.86
  6. Step 6: Final answer
    x = 86,022.37

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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.