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Finding the Fourth Proportional to 198,706.32, 274,210.92 and 109,282.32

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Solution

The fourth proportional to 198,706.32, 274,210.92 and 109,282.32 is: 150,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,706.32 : 274,210.92 = 109,282.32 : x
  2. Step 2: Convert to fraction form
    198,706.32/274,210.92 = 109,282.32/x
  3. Step 3: Cross multiply
    198,706.32x = 274,210.92 × 109,282.32
  4. Step 4: Simplify right side
    198,706.32x = 29,966,405,506.93
  5. Step 5: Solve for x
    x = 29,966,405,506.93/198,706.32
  6. Step 6: Final answer
    x = 150,807.51

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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.