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Finding the Fourth Proportional to 215,436.92, 323,009.58 and 75,119

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Solution

The fourth proportional to 215,436.92, 323,009.58 and 75,119 is: 112,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,436.92 : 323,009.58 = 75,119 : x
  2. Step 2: Convert to fraction form
    215,436.92/323,009.58 = 75,119/x
  3. Step 3: Cross multiply
    215,436.92x = 323,009.58 × 75,119
  4. Step 4: Simplify right side
    215,436.92x = 24,264,156,640.02
  5. Step 5: Solve for x
    x = 24,264,156,640.02/215,436.92
  6. Step 6: Final answer
    x = 112,627.66

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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.