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Finding the Fourth Proportional to 113,765.25, 170,515 and 85,594.80

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Solution

The fourth proportional to 113,765.25, 170,515 and 85,594.80 is: 128,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,765.25 : 170,515 = 85,594.80 : x
  2. Step 2: Convert to fraction form
    113,765.25/170,515 = 85,594.80/x
  3. Step 3: Cross multiply
    113,765.25x = 170,515 × 85,594.80
  4. Step 4: Simplify right side
    113,765.25x = 14,595,197,322
  5. Step 5: Solve for x
    x = 14,595,197,322/113,765.25
  6. Step 6: Final answer
    x = 128,292.23

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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.