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Finding the Fourth Proportional to 209,906.73, 289,671.37 and 119,262.82

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Solution

The fourth proportional to 209,906.73, 289,671.37 and 119,262.82 is: 164,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,906.73 : 289,671.37 = 119,262.82 : x
  2. Step 2: Convert to fraction form
    209,906.73/289,671.37 = 119,262.82/x
  3. Step 3: Cross multiply
    209,906.73x = 289,671.37 × 119,262.82
  4. Step 4: Simplify right side
    209,906.73x = 34,547,024,459.46
  5. Step 5: Solve for x
    x = 34,547,024,459.46/209,906.73
  6. Step 6: Final answer
    x = 164,582.74

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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.