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Finding the Fourth Proportional to 130,584, 195,893.43 and 51,679.78

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Solution

The fourth proportional to 130,584, 195,893.43 and 51,679.78 is: 77,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,584 : 195,893.43 = 51,679.78 : x
  2. Step 2: Convert to fraction form
    130,584/195,893.43 = 51,679.78/x
  3. Step 3: Cross multiply
    130,584x = 195,893.43 × 51,679.78
  4. Step 4: Simplify right side
    130,584x = 10,123,728,127.98
  5. Step 5: Solve for x
    x = 10,123,728,127.98/130,584
  6. Step 6: Final answer
    x = 77,526.56

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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.