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Finding the Fourth Proportional to 139,470.82, 209,204.40 and 34,290.70

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Solution

The fourth proportional to 139,470.82, 209,204.40 and 34,290.70 is: 51,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,470.82 : 209,204.40 = 34,290.70 : x
  2. Step 2: Convert to fraction form
    139,470.82/209,204.40 = 34,290.70/x
  3. Step 3: Cross multiply
    139,470.82x = 209,204.40 × 34,290.70
  4. Step 4: Simplify right side
    139,470.82x = 7,173,765,319.08
  5. Step 5: Solve for x
    x = 7,173,765,319.08/139,470.82
  6. Step 6: Final answer
    x = 51,435.60

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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.