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Finding the Fourth Proportional to 137,553.72, 206,361.54 and 48,807.06

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Solution

The fourth proportional to 137,553.72, 206,361.54 and 48,807.06 is: 73,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,553.72 : 206,361.54 = 48,807.06 : x
  2. Step 2: Convert to fraction form
    137,553.72/206,361.54 = 48,807.06/x
  3. Step 3: Cross multiply
    137,553.72x = 206,361.54 × 48,807.06
  4. Step 4: Simplify right side
    137,553.72x = 10,071,900,064.47
  5. Step 5: Solve for x
    x = 10,071,900,064.47/137,553.72
  6. Step 6: Final answer
    x = 73,221.58

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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.