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Finding the Fourth Proportional to 259,881.66, 389,978.01 and 112,137.66

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Solution

The fourth proportional to 259,881.66, 389,978.01 and 112,137.66 is: 168,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,881.66 : 389,978.01 = 112,137.66 : x
  2. Step 2: Convert to fraction form
    259,881.66/389,978.01 = 112,137.66/x
  3. Step 3: Cross multiply
    259,881.66x = 389,978.01 × 112,137.66
  4. Step 4: Simplify right side
    259,881.66x = 43,731,219,957.22
  5. Step 5: Solve for x
    x = 43,731,219,957.22/259,881.66
  6. Step 6: Final answer
    x = 168,273.59

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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.