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Finding the Fourth Proportional to 192,129.69, 288,188.39 and 86,948.66

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Solution

The fourth proportional to 192,129.69, 288,188.39 and 86,948.66 is: 130,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,129.69 : 288,188.39 = 86,948.66 : x
  2. Step 2: Convert to fraction form
    192,129.69/288,188.39 = 86,948.66/x
  3. Step 3: Cross multiply
    192,129.69x = 288,188.39 × 86,948.66
  4. Step 4: Simplify right side
    192,129.69x = 25,057,592,462.37
  5. Step 5: Solve for x
    x = 25,057,592,462.37/192,129.69
  6. Step 6: Final answer
    x = 130,420.20

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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.