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Finding the Fourth Proportional to 139,763.25, 209,677.68 and 46,269

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Solution

The fourth proportional to 139,763.25, 209,677.68 and 46,269 is: 69,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,763.25 : 209,677.68 = 46,269 : x
  2. Step 2: Convert to fraction form
    139,763.25/209,677.68 = 46,269/x
  3. Step 3: Cross multiply
    139,763.25x = 209,677.68 × 46,269
  4. Step 4: Simplify right side
    139,763.25x = 9,701,576,575.92
  5. Step 5: Solve for x
    x = 9,701,576,575.92/139,763.25
  6. Step 6: Final answer
    x = 69,414.36

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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.