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Finding the Fourth Proportional to 51,978.90, 71,738.96 and 34,125.70

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Solution

The fourth proportional to 51,978.90, 71,738.96 and 34,125.70 is: 47,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.90 : 71,738.96 = 34,125.70 : x
  2. Step 2: Convert to fraction form
    51,978.90/71,738.96 = 34,125.70/x
  3. Step 3: Cross multiply
    51,978.90x = 71,738.96 × 34,125.70
  4. Step 4: Simplify right side
    51,978.90x = 2,448,142,227.27
  5. Step 5: Solve for x
    x = 2,448,142,227.27/51,978.90
  6. Step 6: Final answer
    x = 47,098.77

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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.