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Finding the Fourth Proportional to 115,706.20, 159,672.44 and 65,405.20

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Solution

The fourth proportional to 115,706.20, 159,672.44 and 65,405.20 is: 90,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,706.20 : 159,672.44 = 65,405.20 : x
  2. Step 2: Convert to fraction form
    115,706.20/159,672.44 = 65,405.20/x
  3. Step 3: Cross multiply
    115,706.20x = 159,672.44 × 65,405.20
  4. Step 4: Simplify right side
    115,706.20x = 10,443,407,872.69
  5. Step 5: Solve for x
    x = 10,443,407,872.69/115,706.20
  6. Step 6: Final answer
    x = 90,257.98

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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.