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Finding the Fourth Proportional to 137,915.31, 206,872.98 and 44,421.06

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Solution

The fourth proportional to 137,915.31, 206,872.98 and 44,421.06 is: 66,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,915.31 : 206,872.98 = 44,421.06 : x
  2. Step 2: Convert to fraction form
    137,915.31/206,872.98 = 44,421.06/x
  3. Step 3: Cross multiply
    137,915.31x = 206,872.98 × 44,421.06
  4. Step 4: Simplify right side
    137,915.31x = 9,189,517,056.96
  5. Step 5: Solve for x
    x = 9,189,517,056.96/137,915.31
  6. Step 6: Final answer
    x = 66,631.59

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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.