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Finding the Fourth Proportional to 51,978.90, 71,730.79 and 29,317.82

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Solution

The fourth proportional to 51,978.90, 71,730.79 and 29,317.82 is: 40,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.90 : 71,730.79 = 29,317.82 : x
  2. Step 2: Convert to fraction form
    51,978.90/71,730.79 = 29,317.82/x
  3. Step 3: Cross multiply
    51,978.90x = 71,730.79 × 29,317.82
  4. Step 4: Simplify right side
    51,978.90x = 2,102,990,389.68
  5. Step 5: Solve for x
    x = 2,102,990,389.68/51,978.90
  6. Step 6: Final answer
    x = 40,458.54

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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.