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Finding the Fourth Proportional to 137,166.72, 189,319.68 and 83,469

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Solution

The fourth proportional to 137,166.72, 189,319.68 and 83,469 is: 115,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,166.72 : 189,319.68 = 83,469 : x
  2. Step 2: Convert to fraction form
    137,166.72/189,319.68 = 83,469/x
  3. Step 3: Cross multiply
    137,166.72x = 189,319.68 × 83,469
  4. Step 4: Simplify right side
    137,166.72x = 15,802,324,369.92
  5. Step 5: Solve for x
    x = 15,802,324,369.92/137,166.72
  6. Step 6: Final answer
    x = 115,205.24

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1.5x scale

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.