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Finding the Fourth Proportional to 85,083.01, 127,610.51 and 31,760.98

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Solution

The fourth proportional to 85,083.01, 127,610.51 and 31,760.98 is: 47,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,083.01 : 127,610.51 = 31,760.98 : x
  2. Step 2: Convert to fraction form
    85,083.01/127,610.51 = 31,760.98/x
  3. Step 3: Cross multiply
    85,083.01x = 127,610.51 × 31,760.98
  4. Step 4: Simplify right side
    85,083.01x = 4,053,034,378.07
  5. Step 5: Solve for x
    x = 4,053,034,378.07/85,083.01
  6. Step 6: Final answer
    x = 47,636.24

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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.