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Finding the Fourth Proportional to 209,919.01, 289,677.30 and 119,262.39

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Solution

The fourth proportional to 209,919.01, 289,677.30 and 119,262.39 is: 164,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,919.01 : 289,677.30 = 119,262.39 : x
  2. Step 2: Convert to fraction form
    209,919.01/289,677.30 = 119,262.39/x
  3. Step 3: Cross multiply
    209,919.01x = 289,677.30 × 119,262.39
  4. Step 4: Simplify right side
    209,919.01x = 34,547,607,126.75
  5. Step 5: Solve for x
    x = 34,547,607,126.75/209,919.01
  6. Step 6: Final answer
    x = 164,575.89

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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.