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Finding the Fourth Proportional to 209,754.37, 289,451.68 and 122,547.57

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Solution

The fourth proportional to 209,754.37, 289,451.68 and 122,547.57 is: 169,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,754.37 : 289,451.68 = 122,547.57 : x
  2. Step 2: Convert to fraction form
    209,754.37/289,451.68 = 122,547.57/x
  3. Step 3: Cross multiply
    209,754.37x = 289,451.68 × 122,547.57
  4. Step 4: Simplify right side
    209,754.37x = 35,471,600,016.42
  5. Step 5: Solve for x
    x = 35,471,600,016.42/209,754.37
  6. Step 6: Final answer
    x = 169,110.18

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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.