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Finding the Fourth Proportional to 215,302.96, 322,954.62 and 102,956.68

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Solution

The fourth proportional to 215,302.96, 322,954.62 and 102,956.68 is: 154,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,302.96 : 322,954.62 = 102,956.68 : x
  2. Step 2: Convert to fraction form
    215,302.96/322,954.62 = 102,956.68/x
  3. Step 3: Cross multiply
    215,302.96x = 322,954.62 × 102,956.68
  4. Step 4: Simplify right side
    215,302.96x = 33,250,335,465.86
  5. Step 5: Solve for x
    x = 33,250,335,465.86/215,302.96
  6. Step 6: Final answer
    x = 154,435.11

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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.