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Finding the Fourth Proportional to 137,600.29, 189,890.34 and 83,144.91

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Solution

The fourth proportional to 137,600.29, 189,890.34 and 83,144.91 is: 114,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,600.29 : 189,890.34 = 83,144.91 : x
  2. Step 2: Convert to fraction form
    137,600.29/189,890.34 = 83,144.91/x
  3. Step 3: Cross multiply
    137,600.29x = 189,890.34 × 83,144.91
  4. Step 4: Simplify right side
    137,600.29x = 15,788,415,229.17
  5. Step 5: Solve for x
    x = 15,788,415,229.17/137,600.29
  6. Step 6: Final answer
    x = 114,741.15

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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.