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Finding the Fourth Proportional to 255,208.78, 352,167.76 and 147,785.77

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Solution

The fourth proportional to 255,208.78, 352,167.76 and 147,785.77 is: 203,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,208.78 : 352,167.76 = 147,785.77 : x
  2. Step 2: Convert to fraction form
    255,208.78/352,167.76 = 147,785.77/x
  3. Step 3: Cross multiply
    255,208.78x = 352,167.76 × 147,785.77
  4. Step 4: Simplify right side
    255,208.78x = 52,045,383,580.78
  5. Step 5: Solve for x
    x = 52,045,383,580.78/255,208.78
  6. Step 6: Final answer
    x = 203,932.57

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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.