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Finding the Fourth Proportional to 216,405.92, 298,617.36 and 120,916.64

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Solution

The fourth proportional to 216,405.92, 298,617.36 and 120,916.64 is: 166,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,405.92 : 298,617.36 = 120,916.64 : x
  2. Step 2: Convert to fraction form
    216,405.92/298,617.36 = 120,916.64/x
  3. Step 3: Cross multiply
    216,405.92x = 298,617.36 × 120,916.64
  4. Step 4: Simplify right side
    216,405.92x = 36,107,807,816.87
  5. Step 5: Solve for x
    x = 36,107,807,816.87/216,405.92
  6. Step 6: Final answer
    x = 166,852.22

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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.