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Finding the Fourth Proportional to 116,703.70, 161,074.92 and 75,918.76

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Solution

The fourth proportional to 116,703.70, 161,074.92 and 75,918.76 is: 104,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,703.70 : 161,074.92 = 75,918.76 : x
  2. Step 2: Convert to fraction form
    116,703.70/161,074.92 = 75,918.76/x
  3. Step 3: Cross multiply
    116,703.70x = 161,074.92 × 75,918.76
  4. Step 4: Simplify right side
    116,703.70x = 12,228,608,193.50
  5. Step 5: Solve for x
    x = 12,228,608,193.50/116,703.70
  6. Step 6: Final answer
    x = 104,783.38

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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.