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Finding the Fourth Proportional to 214,888.80, 322,473.06 and 81,770.16

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Solution

The fourth proportional to 214,888.80, 322,473.06 and 81,770.16 is: 122,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,888.80 : 322,473.06 = 81,770.16 : x
  2. Step 2: Convert to fraction form
    214,888.80/322,473.06 = 81,770.16/x
  3. Step 3: Cross multiply
    214,888.80x = 322,473.06 × 81,770.16
  4. Step 4: Simplify right side
    214,888.80x = 26,368,673,711.89
  5. Step 5: Solve for x
    x = 26,368,673,711.89/214,888.80
  6. Step 6: Final answer
    x = 122,708.46

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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.