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Finding the Fourth Proportional to 215,920, 298,009.92 and 126,496

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Solution

The fourth proportional to 215,920, 298,009.92 and 126,496 is: 174,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,920 : 298,009.92 = 126,496 : x
  2. Step 2: Convert to fraction form
    215,920/298,009.92 = 126,496/x
  3. Step 3: Cross multiply
    215,920x = 298,009.92 × 126,496
  4. Step 4: Simplify right side
    215,920x = 37,697,062,840.32
  5. Step 5: Solve for x
    x = 37,697,062,840.32/215,920
  6. Step 6: Final answer
    x = 174,588.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.