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Finding the Fourth Proportional to 137,415.64, 206,136.42 and 43,899.16

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Solution

The fourth proportional to 137,415.64, 206,136.42 and 43,899.16 is: 65,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.64 : 206,136.42 = 43,899.16 : x
  2. Step 2: Convert to fraction form
    137,415.64/206,136.42 = 43,899.16/x
  3. Step 3: Cross multiply
    137,415.64x = 206,136.42 × 43,899.16
  4. Step 4: Simplify right side
    137,415.64x = 9,049,215,683.41
  5. Step 5: Solve for x
    x = 9,049,215,683.41/137,415.64
  6. Step 6: Final answer
    x = 65,852.88

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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.