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Finding the Fourth Proportional to 216,463.77, 298,733.27 and 120,978.09

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Solution

The fourth proportional to 216,463.77, 298,733.27 and 120,978.09 is: 166,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.77 : 298,733.27 = 120,978.09 : x
  2. Step 2: Convert to fraction form
    216,463.77/298,733.27 = 120,978.09/x
  3. Step 3: Cross multiply
    216,463.77x = 298,733.27 × 120,978.09
  4. Step 4: Simplify right side
    216,463.77x = 36,140,179,819.16
  5. Step 5: Solve for x
    x = 36,140,179,819.16/216,463.77
  6. Step 6: Final answer
    x = 166,957.18

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1.5x scale

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.