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Finding the Fourth Proportional to 103,676, 143,090.16 and 78,481.76

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Solution

The fourth proportional to 103,676, 143,090.16 and 78,481.76 is: 108,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676 : 143,090.16 = 78,481.76 : x
  2. Step 2: Convert to fraction form
    103,676/143,090.16 = 78,481.76/x
  3. Step 3: Cross multiply
    103,676x = 143,090.16 × 78,481.76
  4. Step 4: Simplify right side
    103,676x = 11,229,967,595.48
  5. Step 5: Solve for x
    x = 11,229,967,595.48/103,676
  6. Step 6: Final answer
    x = 108,317.91

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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.