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Finding the Fourth Proportional to 218,705.06, 328,057.59 and 52,493.06

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Solution

The fourth proportional to 218,705.06, 328,057.59 and 52,493.06 is: 78,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,705.06 : 328,057.59 = 52,493.06 : x
  2. Step 2: Convert to fraction form
    218,705.06/328,057.59 = 52,493.06/x
  3. Step 3: Cross multiply
    218,705.06x = 328,057.59 × 52,493.06
  4. Step 4: Simplify right side
    218,705.06x = 17,220,747,772.32
  5. Step 5: Solve for x
    x = 17,220,747,772.32/218,705.06
  6. Step 6: Final answer
    x = 78,739.59

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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.