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Finding the Fourth Proportional to 172,257.40, 258,386.10 and 164,092.60

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Solution

The fourth proportional to 172,257.40, 258,386.10 and 164,092.60 is: 246,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,257.40 : 258,386.10 = 164,092.60 : x
  2. Step 2: Convert to fraction form
    172,257.40/258,386.10 = 164,092.60/x
  3. Step 3: Cross multiply
    172,257.40x = 258,386.10 × 164,092.60
  4. Step 4: Simplify right side
    172,257.40x = 42,399,246,952.86
  5. Step 5: Solve for x
    x = 42,399,246,952.86/172,257.40
  6. Step 6: Final answer
    x = 246,138.90

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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.