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Finding the Fourth Proportional to 151,390.53, 208,917.96 and 83,405.94

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Solution

The fourth proportional to 151,390.53, 208,917.96 and 83,405.94 is: 115,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,390.53 : 208,917.96 = 83,405.94 : x
  2. Step 2: Convert to fraction form
    151,390.53/208,917.96 = 83,405.94/x
  3. Step 3: Cross multiply
    151,390.53x = 208,917.96 × 83,405.94
  4. Step 4: Simplify right side
    151,390.53x = 17,424,998,836.68
  5. Step 5: Solve for x
    x = 17,424,998,836.68/151,390.53
  6. Step 6: Final answer
    x = 115,099.66

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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.