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Finding the Fourth Proportional to 209,324.61, 288,875.57 and 119,917.89

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Solution

The fourth proportional to 209,324.61, 288,875.57 and 119,917.89 is: 165,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,324.61 : 288,875.57 = 119,917.89 : x
  2. Step 2: Convert to fraction form
    209,324.61/288,875.57 = 119,917.89/x
  3. Step 3: Cross multiply
    209,324.61x = 288,875.57 × 119,917.89
  4. Step 4: Simplify right side
    209,324.61x = 34,641,348,227.36
  5. Step 5: Solve for x
    x = 34,641,348,227.36/209,324.61
  6. Step 6: Final answer
    x = 165,491.04

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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.