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Finding the Fourth Proportional to 116,126.88, 160,289.20 and 75,846.80

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Solution

The fourth proportional to 116,126.88, 160,289.20 and 75,846.80 is: 104,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,126.88 : 160,289.20 = 75,846.80 : x
  2. Step 2: Convert to fraction form
    116,126.88/160,289.20 = 75,846.80/x
  3. Step 3: Cross multiply
    116,126.88x = 160,289.20 × 75,846.80
  4. Step 4: Simplify right side
    116,126.88x = 12,157,422,894.56
  5. Step 5: Solve for x
    x = 12,157,422,894.56/116,126.88
  6. Step 6: Final answer
    x = 104,690.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.