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Finding the Fourth Proportional to 188,963.86, 260,765.81 and 102,920.45

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Solution

The fourth proportional to 188,963.86, 260,765.81 and 102,920.45 is: 142,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,963.86 : 260,765.81 = 102,920.45 : x
  2. Step 2: Convert to fraction form
    188,963.86/260,765.81 = 102,920.45/x
  3. Step 3: Cross multiply
    188,963.86x = 260,765.81 × 102,920.45
  4. Step 4: Simplify right side
    188,963.86x = 26,838,133,521.28
  5. Step 5: Solve for x
    x = 26,838,133,521.28/188,963.86
  6. Step 6: Final answer
    x = 142,027.86

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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.