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Finding the Fourth Proportional to 215,718.84, 323,724.06 and 75,478.68

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Solution

The fourth proportional to 215,718.84, 323,724.06 and 75,478.68 is: 113,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,718.84 : 323,724.06 = 75,478.68 : x
  2. Step 2: Convert to fraction form
    215,718.84/323,724.06 = 75,478.68/x
  3. Step 3: Cross multiply
    215,718.84x = 323,724.06 × 75,478.68
  4. Step 4: Simplify right side
    215,718.84x = 24,434,264,733.04
  5. Step 5: Solve for x
    x = 24,434,264,733.04/215,718.84
  6. Step 6: Final answer
    x = 113,269.03

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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.