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Finding the Fourth Proportional to 111,985.75, 154,540.31 and 61,684.75

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Solution

The fourth proportional to 111,985.75, 154,540.31 and 61,684.75 is: 85,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985.75 : 154,540.31 = 61,684.75 : x
  2. Step 2: Convert to fraction form
    111,985.75/154,540.31 = 61,684.75/x
  3. Step 3: Cross multiply
    111,985.75x = 154,540.31 × 61,684.75
  4. Step 4: Simplify right side
    111,985.75x = 9,532,780,272.02
  5. Step 5: Solve for x
    x = 9,532,780,272.02/111,985.75
  6. Step 6: Final answer
    x = 85,124.94

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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.