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Finding the Fourth Proportional to 215,176.40, 322,721.40 and 102,856.40

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Solution

The fourth proportional to 215,176.40, 322,721.40 and 102,856.40 is: 154,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,176.40 : 322,721.40 = 102,856.40 : x
  2. Step 2: Convert to fraction form
    215,176.40/322,721.40 = 102,856.40/x
  3. Step 3: Cross multiply
    215,176.40x = 322,721.40 × 102,856.40
  4. Step 4: Simplify right side
    215,176.40x = 33,193,961,406.96
  5. Step 5: Solve for x
    x = 33,193,961,406.96/215,176.40
  6. Step 6: Final answer
    x = 154,263.95

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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.