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Finding the Fourth Proportional to 139,764.75, 209,679.93 and 46,270.50

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Solution

The fourth proportional to 139,764.75, 209,679.93 and 46,270.50 is: 69,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,764.75 : 209,679.93 = 46,270.50 : x
  2. Step 2: Convert to fraction form
    139,764.75/209,679.93 = 46,270.50/x
  3. Step 3: Cross multiply
    139,764.75x = 209,679.93 × 46,270.50
  4. Step 4: Simplify right side
    139,764.75x = 9,701,995,201.07
  5. Step 5: Solve for x
    x = 9,701,995,201.07/139,764.75
  6. Step 6: Final answer
    x = 69,416.61

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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.