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Finding the Fourth Proportional to 192,924.80, 288,998.40 and 129,939.20

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Solution

The fourth proportional to 192,924.80, 288,998.40 and 129,939.20 is: 194,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,924.80 : 288,998.40 = 129,939.20 : x
  2. Step 2: Convert to fraction form
    192,924.80/288,998.40 = 129,939.20/x
  3. Step 3: Cross multiply
    192,924.80x = 288,998.40 × 129,939.20
  4. Step 4: Simplify right side
    192,924.80x = 37,552,220,897.28
  5. Step 5: Solve for x
    x = 37,552,220,897.28/192,924.80
  6. Step 6: Final answer
    x = 194,646.93

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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.