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Finding the Fourth Proportional to 140,418.48, 210,640.92 and 51,673.68

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Solution

The fourth proportional to 140,418.48, 210,640.92 and 51,673.68 is: 77,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,418.48 : 210,640.92 = 51,673.68 : x
  2. Step 2: Convert to fraction form
    140,418.48/210,640.92 = 51,673.68/x
  3. Step 3: Cross multiply
    140,418.48x = 210,640.92 × 51,673.68
  4. Step 4: Simplify right side
    140,418.48x = 10,884,591,494.99
  5. Step 5: Solve for x
    x = 10,884,591,494.99/140,418.48
  6. Step 6: Final answer
    x = 77,515.38

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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.