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Finding the Fourth Proportional to 218,108.88, 327,258.90 and 105,875.28

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Solution

The fourth proportional to 218,108.88, 327,258.90 and 105,875.28 is: 158,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,108.88 : 327,258.90 = 105,875.28 : x
  2. Step 2: Convert to fraction form
    218,108.88/327,258.90 = 105,875.28/x
  3. Step 3: Cross multiply
    218,108.88x = 327,258.90 × 105,875.28
  4. Step 4: Simplify right side
    218,108.88x = 34,648,627,669.99
  5. Step 5: Solve for x
    x = 34,648,627,669.99/218,108.88
  6. Step 6: Final answer
    x = 158,859.32

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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.