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Finding the Fourth Proportional to 89,310, 133,924.86 and 64,245

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Solution

The fourth proportional to 89,310, 133,924.86 and 64,245 is: 96,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,310 : 133,924.86 = 64,245 : x
  2. Step 2: Convert to fraction form
    89,310/133,924.86 = 64,245/x
  3. Step 3: Cross multiply
    89,310x = 133,924.86 × 64,245
  4. Step 4: Simplify right side
    89,310x = 8,604,002,630.70
  5. Step 5: Solve for x
    x = 8,604,002,630.70/89,310
  6. Step 6: Final answer
    x = 96,338.63

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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.