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Finding the Fourth Proportional to 107,431.20, 161,146.80 and 57,664.80

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Solution

The fourth proportional to 107,431.20, 161,146.80 and 57,664.80 is: 86,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,431.20 : 161,146.80 = 57,664.80 : x
  2. Step 2: Convert to fraction form
    107,431.20/161,146.80 = 57,664.80/x
  3. Step 3: Cross multiply
    107,431.20x = 161,146.80 × 57,664.80
  4. Step 4: Simplify right side
    107,431.20x = 9,292,497,992.64
  5. Step 5: Solve for x
    x = 9,292,497,992.64/107,431.20
  6. Step 6: Final answer
    x = 86,497.20

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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.