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Finding the Fourth Proportional to 101,650.22, 140,275.22 and 56,327.80

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Solution

The fourth proportional to 101,650.22, 140,275.22 and 56,327.80 is: 77,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,650.22 : 140,275.22 = 56,327.80 : x
  2. Step 2: Convert to fraction form
    101,650.22/140,275.22 = 56,327.80/x
  3. Step 3: Cross multiply
    101,650.22x = 140,275.22 × 56,327.80
  4. Step 4: Simplify right side
    101,650.22x = 7,901,394,537.12
  5. Step 5: Solve for x
    x = 7,901,394,537.12/101,650.22
  6. Step 6: Final answer
    x = 77,731.21

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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.