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Finding the Fourth Proportional to 138,507.94, 191,098.42 and 84,736.90

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Solution

The fourth proportional to 138,507.94, 191,098.42 and 84,736.90 is: 116,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,507.94 : 191,098.42 = 84,736.90 : x
  2. Step 2: Convert to fraction form
    138,507.94/191,098.42 = 84,736.90/x
  3. Step 3: Cross multiply
    138,507.94x = 191,098.42 × 84,736.90
  4. Step 4: Simplify right side
    138,507.94x = 16,193,087,705.70
  5. Step 5: Solve for x
    x = 16,193,087,705.70/138,507.94
  6. Step 6: Final answer
    x = 116,910.90

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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.