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Finding the Fourth Proportional to 188,464.82, 260,142.03 and 120,664.40

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Solution

The fourth proportional to 188,464.82, 260,142.03 and 120,664.40 is: 166,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,464.82 : 260,142.03 = 120,664.40 : x
  2. Step 2: Convert to fraction form
    188,464.82/260,142.03 = 120,664.40/x
  3. Step 3: Cross multiply
    188,464.82x = 260,142.03 × 120,664.40
  4. Step 4: Simplify right side
    188,464.82x = 31,389,880,664.02
  5. Step 5: Solve for x
    x = 31,389,880,664.02/188,464.82
  6. Step 6: Final answer
    x = 166,555.65

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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.