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Finding the Fourth Proportional to 77,964.70, 117,004.65 and 51,660.70

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Solution

The fourth proportional to 77,964.70, 117,004.65 and 51,660.70 is: 77,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,964.70 : 117,004.65 = 51,660.70 : x
  2. Step 2: Convert to fraction form
    77,964.70/117,004.65 = 51,660.70/x
  3. Step 3: Cross multiply
    77,964.70x = 117,004.65 × 51,660.70
  4. Step 4: Simplify right side
    77,964.70x = 6,044,542,122.26
  5. Step 5: Solve for x
    x = 6,044,542,122.26/77,964.70
  6. Step 6: Final answer
    x = 77,529.22

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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.