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Finding the Fourth Proportional to 51,123, 76,716.37 and 19,535.88

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Solution

The fourth proportional to 51,123, 76,716.37 and 19,535.88 is: 29,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,123 : 76,716.37 = 19,535.88 : x
  2. Step 2: Convert to fraction form
    51,123/76,716.37 = 19,535.88/x
  3. Step 3: Cross multiply
    51,123x = 76,716.37 × 19,535.88
  4. Step 4: Simplify right side
    51,123x = 1,498,721,798.36
  5. Step 5: Solve for x
    x = 1,498,721,798.36/51,123
  6. Step 6: Final answer
    x = 29,316.00

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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.