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Finding the Fourth Proportional to 137,600.79, 189,891.03 and 83,145.41

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Solution

The fourth proportional to 137,600.79, 189,891.03 and 83,145.41 is: 114,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,600.79 : 189,891.03 = 83,145.41 : x
  2. Step 2: Convert to fraction form
    137,600.79/189,891.03 = 83,145.41/x
  3. Step 3: Cross multiply
    137,600.79x = 189,891.03 × 83,145.41
  4. Step 4: Simplify right side
    137,600.79x = 15,788,566,595.22
  5. Step 5: Solve for x
    x = 15,788,566,595.22/137,600.79
  6. Step 6: Final answer
    x = 114,741.83

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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.