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Finding the Fourth Proportional to 137,688.31, 206,534.75 and 37,847.89

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Solution

The fourth proportional to 137,688.31, 206,534.75 and 37,847.89 is: 56,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,688.31 : 206,534.75 = 37,847.89 : x
  2. Step 2: Convert to fraction form
    137,688.31/206,534.75 = 37,847.89/x
  3. Step 3: Cross multiply
    137,688.31x = 206,534.75 × 37,847.89
  4. Step 4: Simplify right side
    137,688.31x = 7,816,904,499.18
  5. Step 5: Solve for x
    x = 7,816,904,499.18/137,688.31
  6. Step 6: Final answer
    x = 56,772.46

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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.