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Finding the Fourth Proportional to 139,784.87, 209,655.44 and 46,290.62

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Solution

The fourth proportional to 139,784.87, 209,655.44 and 46,290.62 is: 69,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,784.87 : 209,655.44 = 46,290.62 : x
  2. Step 2: Convert to fraction form
    139,784.87/209,655.44 = 46,290.62/x
  3. Step 3: Cross multiply
    139,784.87x = 209,655.44 × 46,290.62
  4. Step 4: Simplify right side
    139,784.87x = 9,705,080,770.25
  5. Step 5: Solve for x
    x = 9,705,080,770.25/139,784.87
  6. Step 6: Final answer
    x = 69,428.69

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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.