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Finding the Fourth Proportional to 137,076.58, 205,046.24 and 128,678.50

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Solution

The fourth proportional to 137,076.58, 205,046.24 and 128,678.50 is: 192,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,076.58 : 205,046.24 = 128,678.50 : x
  2. Step 2: Convert to fraction form
    137,076.58/205,046.24 = 128,678.50/x
  3. Step 3: Cross multiply
    137,076.58x = 205,046.24 × 128,678.50
  4. Step 4: Simplify right side
    137,076.58x = 26,385,042,593.84
  5. Step 5: Solve for x
    x = 26,385,042,593.84/137,076.58
  6. Step 6: Final answer
    x = 192,483.96

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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.