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Finding the Fourth Proportional to 216,463.68, 298,731.68 and 120,970.56

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Solution

The fourth proportional to 216,463.68, 298,731.68 and 120,970.56 is: 166,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.68 : 298,731.68 = 120,970.56 : x
  2. Step 2: Convert to fraction form
    216,463.68/298,731.68 = 120,970.56/x
  3. Step 3: Cross multiply
    216,463.68x = 298,731.68 × 120,970.56
  4. Step 4: Simplify right side
    216,463.68x = 36,137,738,619.34
  5. Step 5: Solve for x
    x = 36,137,738,619.34/216,463.68
  6. Step 6: Final answer
    x = 166,945.97

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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.