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Finding the Fourth Proportional to 139,538.70, 209,308.05 and 100,464.30

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Solution

The fourth proportional to 139,538.70, 209,308.05 and 100,464.30 is: 150,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,538.70 : 209,308.05 = 100,464.30 : x
  2. Step 2: Convert to fraction form
    139,538.70/209,308.05 = 100,464.30/x
  3. Step 3: Cross multiply
    139,538.70x = 209,308.05 × 100,464.30
  4. Step 4: Simplify right side
    139,538.70x = 21,027,986,727.62
  5. Step 5: Solve for x
    x = 21,027,986,727.62/139,538.70
  6. Step 6: Final answer
    x = 150,696.45

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1.5x scale

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.