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Finding the Fourth Proportional to 116,821, 161,212.86 and 63,106

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Solution

The fourth proportional to 116,821, 161,212.86 and 63,106 is: 87,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,821 : 161,212.86 = 63,106 : x
  2. Step 2: Convert to fraction form
    116,821/161,212.86 = 63,106/x
  3. Step 3: Cross multiply
    116,821x = 161,212.86 × 63,106
  4. Step 4: Simplify right side
    116,821x = 10,173,498,743.16
  5. Step 5: Solve for x
    x = 10,173,498,743.16/116,821
  6. Step 6: Final answer
    x = 87,086.22

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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.