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Finding the Fourth Proportional to 258,824.92, 388,254.12 and 81,339.34

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Solution

The fourth proportional to 258,824.92, 388,254.12 and 81,339.34 is: 122,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,824.92 : 388,254.12 = 81,339.34 : x
  2. Step 2: Convert to fraction form
    258,824.92/388,254.12 = 81,339.34/x
  3. Step 3: Cross multiply
    258,824.92x = 388,254.12 × 81,339.34
  4. Step 4: Simplify right side
    258,824.92x = 31,580,333,873.08
  5. Step 5: Solve for x
    x = 31,580,333,873.08/258,824.92
  6. Step 6: Final answer
    x = 122,014.27

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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.