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Finding the Fourth Proportional to 136,648.86, 204,978.78 and 43,154.64

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Solution

The fourth proportional to 136,648.86, 204,978.78 and 43,154.64 is: 64,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,648.86 : 204,978.78 = 43,154.64 : x
  2. Step 2: Convert to fraction form
    136,648.86/204,978.78 = 43,154.64/x
  3. Step 3: Cross multiply
    136,648.86x = 204,978.78 × 43,154.64
  4. Step 4: Simplify right side
    136,648.86x = 8,845,785,458.54
  5. Step 5: Solve for x
    x = 8,845,785,458.54/136,648.86
  6. Step 6: Final answer
    x = 64,733.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.