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Finding the Fourth Proportional to 215,138.40, 322,664.40 and 102,818.40

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Solution

The fourth proportional to 215,138.40, 322,664.40 and 102,818.40 is: 154,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,138.40 : 322,664.40 = 102,818.40 : x
  2. Step 2: Convert to fraction form
    215,138.40/322,664.40 = 102,818.40/x
  3. Step 3: Cross multiply
    215,138.40x = 322,664.40 × 102,818.40
  4. Step 4: Simplify right side
    215,138.40x = 33,175,837,344.96
  5. Step 5: Solve for x
    x = 33,175,837,344.96/215,138.40
  6. Step 6: Final answer
    x = 154,206.95

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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.