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Finding the Fourth Proportional to 188,328.64, 259,830.24 and 106,645.76

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Solution

The fourth proportional to 188,328.64, 259,830.24 and 106,645.76 is: 147,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,328.64 : 259,830.24 = 106,645.76 : x
  2. Step 2: Convert to fraction form
    188,328.64/259,830.24 = 106,645.76/x
  3. Step 3: Cross multiply
    188,328.64x = 259,830.24 × 106,645.76
  4. Step 4: Simplify right side
    188,328.64x = 27,709,793,415.78
  5. Step 5: Solve for x
    x = 27,709,793,415.78/188,328.64
  6. Step 6: Final answer
    x = 147,135.31

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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.