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Finding the Fourth Proportional to 115,711.96, 159,680.40 and 65,410.96

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Solution

The fourth proportional to 115,711.96, 159,680.40 and 65,410.96 is: 90,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,711.96 : 159,680.40 = 65,410.96 : x
  2. Step 2: Convert to fraction form
    115,711.96/159,680.40 = 65,410.96/x
  3. Step 3: Cross multiply
    115,711.96x = 159,680.40 × 65,410.96
  4. Step 4: Simplify right side
    115,711.96x = 10,444,848,257.18
  5. Step 5: Solve for x
    x = 10,444,848,257.18/115,711.96
  6. Step 6: Final answer
    x = 90,265.93

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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.