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Finding the Fourth Proportional to 214,991.40, 322,487.10 and 108,703.20

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Solution

The fourth proportional to 214,991.40, 322,487.10 and 108,703.20 is: 163,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,991.40 : 322,487.10 = 108,703.20 : x
  2. Step 2: Convert to fraction form
    214,991.40/322,487.10 = 108,703.20/x
  3. Step 3: Cross multiply
    214,991.40x = 322,487.10 × 108,703.20
  4. Step 4: Simplify right side
    214,991.40x = 35,055,379,728.72
  5. Step 5: Solve for x
    x = 35,055,379,728.72/214,991.40
  6. Step 6: Final answer
    x = 163,054.80

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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.