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Finding the Fourth Proportional to 111,391.97, 167,097.78 and 31,430.63

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Solution

The fourth proportional to 111,391.97, 167,097.78 and 31,430.63 is: 47,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,391.97 : 167,097.78 = 31,430.63 : x
  2. Step 2: Convert to fraction form
    111,391.97/167,097.78 = 31,430.63/x
  3. Step 3: Cross multiply
    111,391.97x = 167,097.78 × 31,430.63
  4. Step 4: Simplify right side
    111,391.97x = 5,251,988,914.75
  5. Step 5: Solve for x
    x = 5,251,988,914.75/111,391.97
  6. Step 6: Final answer
    x = 47,148.72

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1.5x scale

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.