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Finding the Fourth Proportional to 188,355.84, 259,929.84 and 102,314.04

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Solution

The fourth proportional to 188,355.84, 259,929.84 and 102,314.04 is: 141,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,355.84 : 259,929.84 = 102,314.04 : x
  2. Step 2: Convert to fraction form
    188,355.84/259,929.84 = 102,314.04/x
  3. Step 3: Cross multiply
    188,355.84x = 259,929.84 × 102,314.04
  4. Step 4: Simplify right side
    188,355.84x = 26,594,472,046.95
  5. Step 5: Solve for x
    x = 26,594,472,046.95/188,355.84
  6. Step 6: Final answer
    x = 141,192.71

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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.