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Finding the Fourth Proportional to 137,451.93, 189,683.37 and 83,736.91

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Solution

The fourth proportional to 137,451.93, 189,683.37 and 83,736.91 is: 115,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,451.93 : 189,683.37 = 83,736.91 : x
  2. Step 2: Convert to fraction form
    137,451.93/189,683.37 = 83,736.91/x
  3. Step 3: Cross multiply
    137,451.93x = 189,683.37 × 83,736.91
  4. Step 4: Simplify right side
    137,451.93x = 15,883,499,282.19
  5. Step 5: Solve for x
    x = 15,883,499,282.19/137,451.93
  6. Step 6: Final answer
    x = 115,556.76

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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.