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Finding the Fourth Proportional to 137,331.84, 189,490.56 and 83,580.84

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Solution

The fourth proportional to 137,331.84, 189,490.56 and 83,580.84 is: 115,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,331.84 : 189,490.56 = 83,580.84 : x
  2. Step 2: Convert to fraction form
    137,331.84/189,490.56 = 83,580.84/x
  3. Step 3: Cross multiply
    137,331.84x = 189,490.56 × 83,580.84
  4. Step 4: Simplify right side
    137,331.84x = 15,837,780,176.87
  5. Step 5: Solve for x
    x = 15,837,780,176.87/137,331.84
  6. Step 6: Final answer
    x = 115,324.90

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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.