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Finding the Fourth Proportional to 81,573.93, 122,405.46 and 31,655.97

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Solution

The fourth proportional to 81,573.93, 122,405.46 and 31,655.97 is: 47,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,573.93 : 122,405.46 = 31,655.97 : x
  2. Step 2: Convert to fraction form
    81,573.93/122,405.46 = 31,655.97/x
  3. Step 3: Cross multiply
    81,573.93x = 122,405.46 × 31,655.97
  4. Step 4: Simplify right side
    81,573.93x = 3,874,863,569.60
  5. Step 5: Solve for x
    x = 3,874,863,569.60/81,573.93
  6. Step 6: Final answer
    x = 47,501.25

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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.