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Finding the Fourth Proportional to 116,138.96, 160,301.40 and 65,867.12

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Solution

The fourth proportional to 116,138.96, 160,301.40 and 65,867.12 is: 90,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,138.96 : 160,301.40 = 65,867.12 : x
  2. Step 2: Convert to fraction form
    116,138.96/160,301.40 = 65,867.12/x
  3. Step 3: Cross multiply
    116,138.96x = 160,301.40 × 65,867.12
  4. Step 4: Simplify right side
    116,138.96x = 10,558,591,549.97
  5. Step 5: Solve for x
    x = 10,558,591,549.97/116,138.96
  6. Step 6: Final answer
    x = 90,913.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.