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Finding the Fourth Proportional to 103,653.78, 155,292.03 and 71,996.96

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Solution

The fourth proportional to 103,653.78, 155,292.03 and 71,996.96 is: 107,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,653.78 : 155,292.03 = 71,996.96 : x
  2. Step 2: Convert to fraction form
    103,653.78/155,292.03 = 71,996.96/x
  3. Step 3: Cross multiply
    103,653.78x = 155,292.03 × 71,996.96
  4. Step 4: Simplify right side
    103,653.78x = 11,180,553,295.77
  5. Step 5: Solve for x
    x = 11,180,553,295.77/103,653.78
  6. Step 6: Final answer
    x = 107,864.40

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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.