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Finding the Fourth Proportional to 188,385.84, 259,972.47 and 103,508.28

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Solution

The fourth proportional to 188,385.84, 259,972.47 and 103,508.28 is: 142,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,385.84 : 259,972.47 = 103,508.28 : x
  2. Step 2: Convert to fraction form
    188,385.84/259,972.47 = 103,508.28/x
  3. Step 3: Cross multiply
    188,385.84x = 259,972.47 × 103,508.28
  4. Step 4: Simplify right side
    188,385.84x = 26,909,303,217.05
  5. Step 5: Solve for x
    x = 26,909,303,217.05/188,385.84
  6. Step 6: Final answer
    x = 142,841.43

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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.