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Finding the Fourth Proportional to 51,296.68, 70,789.71 and 30,076.30

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Solution

The fourth proportional to 51,296.68, 70,789.71 and 30,076.30 is: 41,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,296.68 : 70,789.71 = 30,076.30 : x
  2. Step 2: Convert to fraction form
    51,296.68/70,789.71 = 30,076.30/x
  3. Step 3: Cross multiply
    51,296.68x = 70,789.71 × 30,076.30
  4. Step 4: Simplify right side
    51,296.68x = 2,129,092,554.87
  5. Step 5: Solve for x
    x = 2,129,092,554.87/51,296.68
  6. Step 6: Final answer
    x = 41,505.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.