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Finding the Fourth Proportional to 216,455.94, 298,708.32 and 120,962.61

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Solution

The fourth proportional to 216,455.94, 298,708.32 and 120,962.61 is: 166,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,455.94 : 298,708.32 = 120,962.61 : x
  2. Step 2: Convert to fraction form
    216,455.94/298,708.32 = 120,962.61/x
  3. Step 3: Cross multiply
    216,455.94x = 298,708.32 × 120,962.61
  4. Step 4: Simplify right side
    216,455.94x = 36,132,538,015.92
  5. Step 5: Solve for x
    x = 36,132,538,015.92/216,455.94
  6. Step 6: Final answer
    x = 166,927.91

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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.