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Finding the Fourth Proportional to 258,827.92, 388,258.62 and 81,342.34

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Solution

The fourth proportional to 258,827.92, 388,258.62 and 81,342.34 is: 122,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,827.92 : 388,258.62 = 81,342.34 : x
  2. Step 2: Convert to fraction form
    258,827.92/388,258.62 = 81,342.34/x
  3. Step 3: Cross multiply
    258,827.92x = 388,258.62 × 81,342.34
  4. Step 4: Simplify right side
    258,827.92x = 31,581,864,675.97
  5. Step 5: Solve for x
    x = 31,581,864,675.97/258,827.92
  6. Step 6: Final answer
    x = 122,018.77

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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.