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Finding the Fourth Proportional to 198,689.32, 274,052.46 and 134,916.40

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Solution

The fourth proportional to 198,689.32, 274,052.46 and 134,916.40 is: 186,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,689.32 : 274,052.46 = 134,916.40 : x
  2. Step 2: Convert to fraction form
    198,689.32/274,052.46 = 134,916.40/x
  3. Step 3: Cross multiply
    198,689.32x = 274,052.46 × 134,916.40
  4. Step 4: Simplify right side
    198,689.32x = 36,974,171,314.34
  5. Step 5: Solve for x
    x = 36,974,171,314.34/198,689.32
  6. Step 6: Final answer
    x = 186,090.38

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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.