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Finding the Fourth Proportional to 151,390.41, 208,917.79 and 83,405.81

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Solution

The fourth proportional to 151,390.41, 208,917.79 and 83,405.81 is: 115,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,390.41 : 208,917.79 = 83,405.81 : x
  2. Step 2: Convert to fraction form
    151,390.41/208,917.79 = 83,405.81/x
  3. Step 3: Cross multiply
    151,390.41x = 208,917.79 × 83,405.81
  4. Step 4: Simplify right side
    151,390.41x = 17,424,957,498.36
  5. Step 5: Solve for x
    x = 17,424,957,498.36/151,390.41
  6. Step 6: Final answer
    x = 115,099.48

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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.