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Finding the Fourth Proportional to 100,177, 138,244.26 and 55,467.88

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Solution

The fourth proportional to 100,177, 138,244.26 and 55,467.88 is: 76,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177 : 138,244.26 = 55,467.88 : x
  2. Step 2: Convert to fraction form
    100,177/138,244.26 = 55,467.88/x
  3. Step 3: Cross multiply
    100,177x = 138,244.26 × 55,467.88
  4. Step 4: Simplify right side
    100,177x = 7,668,116,024.37
  5. Step 5: Solve for x
    x = 7,668,116,024.37/100,177
  6. Step 6: Final answer
    x = 76,545.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.