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Finding the Fourth Proportional to 137,435.43, 205,916.46 and 107,438.00

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Solution

The fourth proportional to 137,435.43, 205,916.46 and 107,438.00 is: 160,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,435.43 : 205,916.46 = 107,438.00 : x
  2. Step 2: Convert to fraction form
    137,435.43/205,916.46 = 107,438.00/x
  3. Step 3: Cross multiply
    137,435.43x = 205,916.46 × 107,438.00
  4. Step 4: Simplify right side
    137,435.43x = 22,123,251,599.90
  5. Step 5: Solve for x
    x = 22,123,251,599.90/137,435.43
  6. Step 6: Final answer
    x = 160,971.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.