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Finding the Fourth Proportional to 192,021.50, 264,987.72 and 105,981.28

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Solution

The fourth proportional to 192,021.50, 264,987.72 and 105,981.28 is: 146,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,021.50 : 264,987.72 = 105,981.28 : x
  2. Step 2: Convert to fraction form
    192,021.50/264,987.72 = 105,981.28/x
  3. Step 3: Cross multiply
    192,021.50x = 264,987.72 × 105,981.28
  4. Step 4: Simplify right side
    192,021.50x = 28,083,737,087.41
  5. Step 5: Solve for x
    x = 28,083,737,087.41/192,021.50
  6. Step 6: Final answer
    x = 146,253.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.