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Finding the Fourth Proportional to 81,627.52, 122,373.80 and 31,016.07

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Solution

The fourth proportional to 81,627.52, 122,373.80 and 31,016.07 is: 46,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,627.52 : 122,373.80 = 31,016.07 : x
  2. Step 2: Convert to fraction form
    81,627.52/122,373.80 = 31,016.07/x
  3. Step 3: Cross multiply
    81,627.52x = 122,373.80 × 31,016.07
  4. Step 4: Simplify right side
    81,627.52x = 3,795,554,826.84
  5. Step 5: Solve for x
    x = 3,795,554,826.84/81,627.52
  6. Step 6: Final answer
    x = 46,498.47

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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.