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Finding the Fourth Proportional to 198,461.80, 273,872.10 and 117,889.48

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Solution

The fourth proportional to 198,461.80, 273,872.10 and 117,889.48 is: 162,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,461.80 : 273,872.10 = 117,889.48 : x
  2. Step 2: Convert to fraction form
    198,461.80/273,872.10 = 117,889.48/x
  3. Step 3: Cross multiply
    198,461.80x = 273,872.10 × 117,889.48
  4. Step 4: Simplify right side
    198,461.80x = 32,286,639,455.51
  5. Step 5: Solve for x
    x = 32,286,639,455.51/198,461.80
  6. Step 6: Final answer
    x = 162,684.40

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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.