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Finding the Fourth Proportional to 215,655.89, 323,627.81 and 75,414.51

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Solution

The fourth proportional to 215,655.89, 323,627.81 and 75,414.51 is: 113,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,655.89 : 323,627.81 = 75,414.51 : x
  2. Step 2: Convert to fraction form
    215,655.89/323,627.81 = 75,414.51/x
  3. Step 3: Cross multiply
    215,655.89x = 323,627.81 × 75,414.51
  4. Step 4: Simplify right side
    215,655.89x = 24,406,232,336.45
  5. Step 5: Solve for x
    x = 24,406,232,336.45/215,655.89
  6. Step 6: Final answer
    x = 113,172.11

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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.