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Finding the Fourth Proportional to 77,143.82, 115,203.06 and 76,308.78

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Solution

The fourth proportional to 77,143.82, 115,203.06 and 76,308.78 is: 113,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,143.82 : 115,203.06 = 76,308.78 : x
  2. Step 2: Convert to fraction form
    77,143.82/115,203.06 = 76,308.78/x
  3. Step 3: Cross multiply
    77,143.82x = 115,203.06 × 76,308.78
  4. Step 4: Simplify right side
    77,143.82x = 8,791,004,960.87
  5. Step 5: Solve for x
    x = 8,791,004,960.87/77,143.82
  6. Step 6: Final answer
    x = 113,956.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.