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Finding the Fourth Proportional to 216,249.60, 298,424.88 and 120,756

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Solution

The fourth proportional to 216,249.60, 298,424.88 and 120,756 is: 166,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,249.60 : 298,424.88 = 120,756 : x
  2. Step 2: Convert to fraction form
    216,249.60/298,424.88 = 120,756/x
  3. Step 3: Cross multiply
    216,249.60x = 298,424.88 × 120,756
  4. Step 4: Simplify right side
    216,249.60x = 36,036,594,809.28
  5. Step 5: Solve for x
    x = 36,036,594,809.28/216,249.60
  6. Step 6: Final answer
    x = 166,643.52

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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.