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Finding the Fourth Proportional to 209,753.66, 289,446.41 and 123,692.92

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Solution

The fourth proportional to 209,753.66, 289,446.41 and 123,692.92 is: 170,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,753.66 : 289,446.41 = 123,692.92 : x
  2. Step 2: Convert to fraction form
    209,753.66/289,446.41 = 123,692.92/x
  3. Step 3: Cross multiply
    209,753.66x = 289,446.41 × 123,692.92
  4. Step 4: Simplify right side
    209,753.66x = 35,802,471,222.03
  5. Step 5: Solve for x
    x = 35,802,471,222.03/209,753.66
  6. Step 6: Final answer
    x = 170,688.18

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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.