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Finding the Fourth Proportional to 259,752, 358,458.24 and 140,520

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Solution

The fourth proportional to 259,752, 358,458.24 and 140,520 is: 193,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,752 : 358,458.24 = 140,520 : x
  2. Step 2: Convert to fraction form
    259,752/358,458.24 = 140,520/x
  3. Step 3: Cross multiply
    259,752x = 358,458.24 × 140,520
  4. Step 4: Simplify right side
    259,752x = 50,370,551,884.80
  5. Step 5: Solve for x
    x = 50,370,551,884.80/259,752
  6. Step 6: Final answer
    x = 193,917.86

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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.