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Finding the Fourth Proportional to 148,398.54, 204,789.51 and 80,415.78

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Solution

The fourth proportional to 148,398.54, 204,789.51 and 80,415.78 is: 110,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,398.54 : 204,789.51 = 80,415.78 : x
  2. Step 2: Convert to fraction form
    148,398.54/204,789.51 = 80,415.78/x
  3. Step 3: Cross multiply
    148,398.54x = 204,789.51 × 80,415.78
  4. Step 4: Simplify right side
    148,398.54x = 16,468,308,182.47
  5. Step 5: Solve for x
    x = 16,468,308,182.47/148,398.54
  6. Step 6: Final answer
    x = 110,973.52

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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.