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Finding the Fourth Proportional to 111,978.44, 154,530.24 and 61,677.44

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Solution

The fourth proportional to 111,978.44, 154,530.24 and 61,677.44 is: 85,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,978.44 : 154,530.24 = 61,677.44 : x
  2. Step 2: Convert to fraction form
    111,978.44/154,530.24 = 61,677.44/x
  3. Step 3: Cross multiply
    111,978.44x = 154,530.24 × 61,677.44
  4. Step 4: Simplify right side
    111,978.44x = 9,531,029,605.79
  5. Step 5: Solve for x
    x = 9,531,029,605.79/111,978.44
  6. Step 6: Final answer
    x = 85,114.86

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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.