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Finding the Fourth Proportional to 235,920.09, 354,032.37 and 86,147.84

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Solution

The fourth proportional to 235,920.09, 354,032.37 and 86,147.84 is: 129,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,920.09 : 354,032.37 = 86,147.84 : x
  2. Step 2: Convert to fraction form
    235,920.09/354,032.37 = 86,147.84/x
  3. Step 3: Cross multiply
    235,920.09x = 354,032.37 × 86,147.84
  4. Step 4: Simplify right side
    235,920.09x = 30,499,122,195.42
  5. Step 5: Solve for x
    x = 30,499,122,195.42/235,920.09
  6. Step 6: Final answer
    x = 129,277.34

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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.