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Finding the Fourth Proportional to 107,537.40, 161,298 and 43,499.61

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Solution

The fourth proportional to 107,537.40, 161,298 and 43,499.61 is: 65,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,537.40 : 161,298 = 43,499.61 : x
  2. Step 2: Convert to fraction form
    107,537.40/161,298 = 43,499.61/x
  3. Step 3: Cross multiply
    107,537.40x = 161,298 × 43,499.61
  4. Step 4: Simplify right side
    107,537.40x = 7,016,400,093.78
  5. Step 5: Solve for x
    x = 7,016,400,093.78/107,537.40
  6. Step 6: Final answer
    x = 65,246.14

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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.