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Finding the Fourth Proportional to 116,816, 161,206.08 and 63,824

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Solution

The fourth proportional to 116,816, 161,206.08 and 63,824 is: 88,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,816 : 161,206.08 = 63,824 : x
  2. Step 2: Convert to fraction form
    116,816/161,206.08 = 63,824/x
  3. Step 3: Cross multiply
    116,816x = 161,206.08 × 63,824
  4. Step 4: Simplify right side
    116,816x = 10,288,816,849.92
  5. Step 5: Solve for x
    x = 10,288,816,849.92/116,816
  6. Step 6: Final answer
    x = 88,077.12

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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.