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Finding the Fourth Proportional to 81,014.64, 120,600.30 and 77,197.68

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Solution

The fourth proportional to 81,014.64, 120,600.30 and 77,197.68 is: 114,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,014.64 : 120,600.30 = 77,197.68 : x
  2. Step 2: Convert to fraction form
    81,014.64/120,600.30 = 77,197.68/x
  3. Step 3: Cross multiply
    81,014.64x = 120,600.30 × 77,197.68
  4. Step 4: Simplify right side
    81,014.64x = 9,310,063,367.30
  5. Step 5: Solve for x
    x = 9,310,063,367.30/81,014.64
  6. Step 6: Final answer
    x = 114,918.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.