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Finding the Fourth Proportional to 188,298.37, 259,853.79 and 103,415.42

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Solution

The fourth proportional to 188,298.37, 259,853.79 and 103,415.42 is: 142,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,298.37 : 259,853.79 = 103,415.42 : x
  2. Step 2: Convert to fraction form
    188,298.37/259,853.79 = 103,415.42/x
  3. Step 3: Cross multiply
    188,298.37x = 259,853.79 × 103,415.42
  4. Step 4: Simplify right side
    188,298.37x = 26,872,888,831.44
  5. Step 5: Solve for x
    x = 26,872,888,831.44/188,298.37
  6. Step 6: Final answer
    x = 142,714.40

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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.