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Finding the Fourth Proportional to 172,258.80, 258,092.94 and 136,829.40

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Solution

The fourth proportional to 172,258.80, 258,092.94 and 136,829.40 is: 205,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,258.80 : 258,092.94 = 136,829.40 : x
  2. Step 2: Convert to fraction form
    172,258.80/258,092.94 = 136,829.40/x
  3. Step 3: Cross multiply
    172,258.80x = 258,092.94 × 136,829.40
  4. Step 4: Simplify right side
    172,258.80x = 35,314,702,124.44
  5. Step 5: Solve for x
    x = 35,314,702,124.44/172,258.80
  6. Step 6: Final answer
    x = 205,009.57

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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.