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Finding the Fourth Proportional to 188,662.26, 260,390.88 and 108,143.70

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Solution

The fourth proportional to 188,662.26, 260,390.88 and 108,143.70 is: 149,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,662.26 : 260,390.88 = 108,143.70 : x
  2. Step 2: Convert to fraction form
    188,662.26/260,390.88 = 108,143.70/x
  3. Step 3: Cross multiply
    188,662.26x = 260,390.88 × 108,143.70
  4. Step 4: Simplify right side
    188,662.26x = 28,159,633,209.46
  5. Step 5: Solve for x
    x = 28,159,633,209.46/188,662.26
  6. Step 6: Final answer
    x = 149,259.49

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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.