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Finding the Fourth Proportional to 100,106, 138,150.60 and 55,394

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Solution

The fourth proportional to 100,106, 138,150.60 and 55,394 is: 76,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,106 : 138,150.60 = 55,394 : x
  2. Step 2: Convert to fraction form
    100,106/138,150.60 = 55,394/x
  3. Step 3: Cross multiply
    100,106x = 138,150.60 × 55,394
  4. Step 4: Simplify right side
    100,106x = 7,652,714,336.40
  5. Step 5: Solve for x
    x = 7,652,714,336.40/100,106
  6. Step 6: Final answer
    x = 76,446.11

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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.