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Finding the Fourth Proportional to 103,614.88, 155,119.92 and 77,078.56

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Solution

The fourth proportional to 103,614.88, 155,119.92 and 77,078.56 is: 115,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614.88 : 155,119.92 = 77,078.56 : x
  2. Step 2: Convert to fraction form
    103,614.88/155,119.92 = 77,078.56/x
  3. Step 3: Cross multiply
    103,614.88x = 155,119.92 × 77,078.56
  4. Step 4: Simplify right side
    103,614.88x = 11,956,420,060.92
  5. Step 5: Solve for x
    x = 11,956,420,060.92/103,614.88
  6. Step 6: Final answer
    x = 115,392.89

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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.