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Finding the Fourth Proportional to 188,684.17, 260,388.89 and 102,648

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Solution

The fourth proportional to 188,684.17, 260,388.89 and 102,648 is: 141,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,684.17 : 260,388.89 = 102,648 : x
  2. Step 2: Convert to fraction form
    188,684.17/260,388.89 = 102,648/x
  3. Step 3: Cross multiply
    188,684.17x = 260,388.89 × 102,648
  4. Step 4: Simplify right side
    188,684.17x = 26,728,398,780.72
  5. Step 5: Solve for x
    x = 26,728,398,780.72/188,684.17
  6. Step 6: Final answer
    x = 141,656.82

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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.