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Finding the Fourth Proportional to 107,431.60, 161,083.40 and 65,908.40

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Solution

The fourth proportional to 107,431.60, 161,083.40 and 65,908.40 is: 98,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,431.60 : 161,083.40 = 65,908.40 : x
  2. Step 2: Convert to fraction form
    107,431.60/161,083.40 = 65,908.40/x
  3. Step 3: Cross multiply
    107,431.60x = 161,083.40 × 65,908.40
  4. Step 4: Simplify right side
    107,431.60x = 10,616,749,160.56
  5. Step 5: Solve for x
    x = 10,616,749,160.56/107,431.60
  6. Step 6: Final answer
    x = 98,823.34

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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.