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Finding the Fourth Proportional to 84,139.83, 126,182.43 and 27,964.83

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Solution

The fourth proportional to 84,139.83, 126,182.43 and 27,964.83 is: 41,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,139.83 : 126,182.43 = 27,964.83 : x
  2. Step 2: Convert to fraction form
    84,139.83/126,182.43 = 27,964.83/x
  3. Step 3: Cross multiply
    84,139.83x = 126,182.43 × 27,964.83
  4. Step 4: Simplify right side
    84,139.83x = 3,528,670,203.94
  5. Step 5: Solve for x
    x = 3,528,670,203.94/84,139.83
  6. Step 6: Final answer
    x = 41,938.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.