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Finding the Fourth Proportional to 209,432.50, 313,930.01 and 102,668.63

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Solution

The fourth proportional to 209,432.50, 313,930.01 and 102,668.63 is: 153,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,432.50 : 313,930.01 = 102,668.63 : x
  2. Step 2: Convert to fraction form
    209,432.50/313,930.01 = 102,668.63/x
  3. Step 3: Cross multiply
    209,432.50x = 313,930.01 × 102,668.63
  4. Step 4: Simplify right side
    209,432.50x = 32,230,761,959.59
  5. Step 5: Solve for x
    x = 32,230,761,959.59/209,432.50
  6. Step 6: Final answer
    x = 153,895.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.