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Finding the Fourth Proportional to 188,282.88, 259,834.50 and 103,400.28

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Solution

The fourth proportional to 188,282.88, 259,834.50 and 103,400.28 is: 142,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282.88 : 259,834.50 = 103,400.28 : x
  2. Step 2: Convert to fraction form
    188,282.88/259,834.50 = 103,400.28/x
  3. Step 3: Cross multiply
    188,282.88x = 259,834.50 × 103,400.28
  4. Step 4: Simplify right side
    188,282.88x = 26,866,960,053.66
  5. Step 5: Solve for x
    x = 26,866,960,053.66/188,282.88
  6. Step 6: Final answer
    x = 142,694.65

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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.