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Finding the Fourth Proportional to 209,884.60, 289,647.51 and 119,238.91

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Solution

The fourth proportional to 209,884.60, 289,647.51 and 119,238.91 is: 164,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,884.60 : 289,647.51 = 119,238.91 : x
  2. Step 2: Convert to fraction form
    209,884.60/289,647.51 = 119,238.91/x
  3. Step 3: Cross multiply
    209,884.60x = 289,647.51 × 119,238.91
  4. Step 4: Simplify right side
    209,884.60x = 34,537,253,376.61
  5. Step 5: Solve for x
    x = 34,537,253,376.61/209,884.60
  6. Step 6: Final answer
    x = 164,553.54

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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.