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Finding the Fourth Proportional to 121,866, 168,194.64 and 71,555.28

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Solution

The fourth proportional to 121,866, 168,194.64 and 71,555.28 is: 98,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,866 : 168,194.64 = 71,555.28 : x
  2. Step 2: Convert to fraction form
    121,866/168,194.64 = 71,555.28/x
  3. Step 3: Cross multiply
    121,866x = 168,194.64 × 71,555.28
  4. Step 4: Simplify right side
    121,866x = 12,035,214,559.70
  5. Step 5: Solve for x
    x = 12,035,214,559.70/121,866
  6. Step 6: Final answer
    x = 98,757.77

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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.