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Finding the Fourth Proportional to 188,178.12, 259,686.90 and 103,295.88

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Solution

The fourth proportional to 188,178.12, 259,686.90 and 103,295.88 is: 142,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,178.12 : 259,686.90 = 103,295.88 : x
  2. Step 2: Convert to fraction form
    188,178.12/259,686.90 = 103,295.88/x
  3. Step 3: Cross multiply
    188,178.12x = 259,686.90 × 103,295.88
  4. Step 4: Simplify right side
    188,178.12x = 26,824,586,859.97
  5. Step 5: Solve for x
    x = 26,824,586,859.97/188,178.12
  6. Step 6: Final answer
    x = 142,548.92

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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.