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Finding the Fourth Proportional to 111,956.31, 167,931.86 and 45,378.63

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Solution

The fourth proportional to 111,956.31, 167,931.86 and 45,378.63 is: 68,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,956.31 : 167,931.86 = 45,378.63 : x
  2. Step 2: Convert to fraction form
    111,956.31/167,931.86 = 45,378.63/x
  3. Step 3: Cross multiply
    111,956.31x = 167,931.86 × 45,378.63
  4. Step 4: Simplify right side
    111,956.31x = 7,620,517,513.26
  5. Step 5: Solve for x
    x = 7,620,517,513.26/111,956.31
  6. Step 6: Final answer
    x = 68,066.89

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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.