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Finding the Fourth Proportional to 188,709.30, 260,419.26 and 103,831.80

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Solution

The fourth proportional to 188,709.30, 260,419.26 and 103,831.80 is: 143,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,709.30 : 260,419.26 = 103,831.80 : x
  2. Step 2: Convert to fraction form
    188,709.30/260,419.26 = 103,831.80/x
  3. Step 3: Cross multiply
    188,709.30x = 260,419.26 × 103,831.80
  4. Step 4: Simplify right side
    188,709.30x = 27,039,800,520.47
  5. Step 5: Solve for x
    x = 27,039,800,520.47/188,709.30
  6. Step 6: Final answer
    x = 143,288.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.