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Finding the Fourth Proportional to 107,620.31, 161,405.80 and 31,699.22

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Solution

The fourth proportional to 107,620.31, 161,405.80 and 31,699.22 is: 47,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,620.31 : 161,405.80 = 31,699.22 : x
  2. Step 2: Convert to fraction form
    107,620.31/161,405.80 = 31,699.22/x
  3. Step 3: Cross multiply
    107,620.31x = 161,405.80 × 31,699.22
  4. Step 4: Simplify right side
    107,620.31x = 5,116,437,077.20
  5. Step 5: Solve for x
    x = 5,116,437,077.20/107,620.31
  6. Step 6: Final answer
    x = 47,541.56

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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.