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Finding the Fourth Proportional to 89,103.08, 133,742.10 and 66,970.64

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Solution

The fourth proportional to 89,103.08, 133,742.10 and 66,970.64 is: 100,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,103.08 : 133,742.10 = 66,970.64 : x
  2. Step 2: Convert to fraction form
    89,103.08/133,742.10 = 66,970.64/x
  3. Step 3: Cross multiply
    89,103.08x = 133,742.10 × 66,970.64
  4. Step 4: Simplify right side
    89,103.08x = 8,956,794,031.94
  5. Step 5: Solve for x
    x = 8,956,794,031.94/89,103.08
  6. Step 6: Final answer
    x = 100,521.71

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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.