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Finding the Fourth Proportional to 209,884.86, 289,647.86 and 119,239.17

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Solution

The fourth proportional to 209,884.86, 289,647.86 and 119,239.17 is: 164,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,884.86 : 289,647.86 = 119,239.17 : x
  2. Step 2: Convert to fraction form
    209,884.86/289,647.86 = 119,239.17/x
  3. Step 3: Cross multiply
    209,884.86x = 289,647.86 × 119,239.17
  4. Step 4: Simplify right side
    209,884.86x = 34,537,369,822.48
  5. Step 5: Solve for x
    x = 34,537,369,822.48/209,884.86
  6. Step 6: Final answer
    x = 164,553.89

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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.