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Finding the Fourth Proportional to 215,913.20, 323,812.20 and 75,657.20

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Solution

The fourth proportional to 215,913.20, 323,812.20 and 75,657.20 is: 113,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,913.20 : 323,812.20 = 75,657.20 : x
  2. Step 2: Convert to fraction form
    215,913.20/323,812.20 = 75,657.20/x
  3. Step 3: Cross multiply
    215,913.20x = 323,812.20 × 75,657.20
  4. Step 4: Simplify right side
    215,913.20x = 24,498,724,377.84
  5. Step 5: Solve for x
    x = 24,498,724,377.84/215,913.20
  6. Step 6: Final answer
    x = 113,465.62

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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.