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Finding the Fourth Proportional to 77,133, 115,708.68 and 27,202.74

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Solution

The fourth proportional to 77,133, 115,708.68 and 27,202.74 is: 40,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,133 : 115,708.68 = 27,202.74 : x
  2. Step 2: Convert to fraction form
    77,133/115,708.68 = 27,202.74/x
  3. Step 3: Cross multiply
    77,133x = 115,708.68 × 27,202.74
  4. Step 4: Simplify right side
    77,133x = 3,147,593,137.78
  5. Step 5: Solve for x
    x = 3,147,593,137.78/77,133
  6. Step 6: Final answer
    x = 40,807.35

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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.