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Finding the Fourth Proportional to 151,361.59, 208,879.23 and 83,378.77

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Solution

The fourth proportional to 151,361.59, 208,879.23 and 83,378.77 is: 115,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,361.59 : 208,879.23 = 83,378.77 : x
  2. Step 2: Convert to fraction form
    151,361.59/208,879.23 = 83,378.77/x
  3. Step 3: Cross multiply
    151,361.59x = 208,879.23 × 83,378.77
  4. Step 4: Simplify right side
    151,361.59x = 17,416,092,831.92
  5. Step 5: Solve for x
    x = 17,416,092,831.92/151,361.59
  6. Step 6: Final answer
    x = 115,062.83

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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.