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Finding the Fourth Proportional to 255,604.64, 352,749.81 and 140,883.12

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Solution

The fourth proportional to 255,604.64, 352,749.81 and 140,883.12 is: 194,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,604.64 : 352,749.81 = 140,883.12 : x
  2. Step 2: Convert to fraction form
    255,604.64/352,749.81 = 140,883.12/x
  3. Step 3: Cross multiply
    255,604.64x = 352,749.81 × 140,883.12
  4. Step 4: Simplify right side
    255,604.64x = 49,696,493,812.21
  5. Step 5: Solve for x
    x = 49,696,493,812.21/255,604.64
  6. Step 6: Final answer
    x = 194,427.20

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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.