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Finding the Fourth Proportional to 215,215.68, 322,823.76 and 96,864.96

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Solution

The fourth proportional to 215,215.68, 322,823.76 and 96,864.96 is: 145,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,215.68 : 322,823.76 = 96,864.96 : x
  2. Step 2: Convert to fraction form
    215,215.68/322,823.76 = 96,864.96/x
  3. Step 3: Cross multiply
    215,215.68x = 322,823.76 × 96,864.96
  4. Step 4: Simplify right side
    215,215.68x = 31,270,310,599.45
  5. Step 5: Solve for x
    x = 31,270,310,599.45/215,215.68
  6. Step 6: Final answer
    x = 145,297.55

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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.