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Finding the Fourth Proportional to 188,469.55, 260,083.58 and 102,426.49

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Solution

The fourth proportional to 188,469.55, 260,083.58 and 102,426.49 is: 141,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,469.55 : 260,083.58 = 102,426.49 : x
  2. Step 2: Convert to fraction form
    188,469.55/260,083.58 = 102,426.49/x
  3. Step 3: Cross multiply
    188,469.55x = 260,083.58 × 102,426.49
  4. Step 4: Simplify right side
    188,469.55x = 26,639,446,905.62
  5. Step 5: Solve for x
    x = 26,639,446,905.62/188,469.55
  6. Step 6: Final answer
    x = 141,346.16

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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.