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Finding the Fourth Proportional to 111,111.40, 166,720.16 and 51,938.47

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Solution

The fourth proportional to 111,111.40, 166,720.16 and 51,938.47 is: 77,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,111.40 : 166,720.16 = 51,938.47 : x
  2. Step 2: Convert to fraction form
    111,111.40/166,720.16 = 51,938.47/x
  3. Step 3: Cross multiply
    111,111.40x = 166,720.16 × 51,938.47
  4. Step 4: Simplify right side
    111,111.40x = 8,659,190,028.56
  5. Step 5: Solve for x
    x = 8,659,190,028.56/111,111.40
  6. Step 6: Final answer
    x = 77,932.51

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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.