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Finding the Fourth Proportional to 137,761.62, 206,615.04 and 37,896

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Solution

The fourth proportional to 137,761.62, 206,615.04 and 37,896 is: 56,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,761.62 : 206,615.04 = 37,896 : x
  2. Step 2: Convert to fraction form
    137,761.62/206,615.04 = 37,896/x
  3. Step 3: Cross multiply
    137,761.62x = 206,615.04 × 37,896
  4. Step 4: Simplify right side
    137,761.62x = 7,829,883,555.84
  5. Step 5: Solve for x
    x = 7,829,883,555.84/137,761.62
  6. Step 6: Final answer
    x = 56,836.47

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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.