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Finding the Fourth Proportional to 188,871.64, 260,644.42 and 102,831.20

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Solution

The fourth proportional to 188,871.64, 260,644.42 and 102,831.20 is: 141,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,871.64 : 260,644.42 = 102,831.20 : x
  2. Step 2: Convert to fraction form
    188,871.64/260,644.42 = 102,831.20/x
  3. Step 3: Cross multiply
    188,871.64x = 260,644.42 × 102,831.20
  4. Step 4: Simplify right side
    188,871.64x = 26,802,378,481.90
  5. Step 5: Solve for x
    x = 26,802,378,481.90/188,871.64
  6. Step 6: Final answer
    x = 141,907.90

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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.