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Finding the Fourth Proportional to 235,992.69, 354,019.92 and 86,303.48

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Solution

The fourth proportional to 235,992.69, 354,019.92 and 86,303.48 is: 129,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,992.69 : 354,019.92 = 86,303.48 : x
  2. Step 2: Convert to fraction form
    235,992.69/354,019.92 = 86,303.48/x
  3. Step 3: Cross multiply
    235,992.69x = 354,019.92 × 86,303.48
  4. Step 4: Simplify right side
    235,992.69x = 30,553,149,315.22
  5. Step 5: Solve for x
    x = 30,553,149,315.22/235,992.69
  6. Step 6: Final answer
    x = 129,466.51

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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.