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Finding the Fourth Proportional to 149,120.70, 205,719.64 and 100,706.90

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Solution

The fourth proportional to 149,120.70, 205,719.64 and 100,706.90 is: 138,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,120.70 : 205,719.64 = 100,706.90 : x
  2. Step 2: Convert to fraction form
    149,120.70/205,719.64 = 100,706.90/x
  3. Step 3: Cross multiply
    149,120.70x = 205,719.64 × 100,706.90
  4. Step 4: Simplify right side
    149,120.70x = 20,717,387,213.52
  5. Step 5: Solve for x
    x = 20,717,387,213.52/149,120.70
  6. Step 6: Final answer
    x = 138,930.32

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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.