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Finding the Fourth Proportional to 109,189.82, 163,668.09 and 77,930.30

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Solution

The fourth proportional to 109,189.82, 163,668.09 and 77,930.30 is: 116,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,189.82 : 163,668.09 = 77,930.30 : x
  2. Step 2: Convert to fraction form
    109,189.82/163,668.09 = 77,930.30/x
  3. Step 3: Cross multiply
    109,189.82x = 163,668.09 × 77,930.30
  4. Step 4: Simplify right side
    109,189.82x = 12,754,704,055.54
  5. Step 5: Solve for x
    x = 12,754,704,055.54/109,189.82
  6. Step 6: Final answer
    x = 116,812.21

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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.