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Finding the Fourth Proportional to 120,755.36, 180,897.42 and 79,076

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Solution

The fourth proportional to 120,755.36, 180,897.42 and 79,076 is: 118,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,755.36 : 180,897.42 = 79,076 : x
  2. Step 2: Convert to fraction form
    120,755.36/180,897.42 = 79,076/x
  3. Step 3: Cross multiply
    120,755.36x = 180,897.42 × 79,076
  4. Step 4: Simplify right side
    120,755.36x = 14,304,644,383.92
  5. Step 5: Solve for x
    x = 14,304,644,383.92/120,755.36
  6. Step 6: Final answer
    x = 118,459.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.