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Finding the Fourth Proportional to 103,035.88, 154,575.96 and 31,957

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Solution

The fourth proportional to 103,035.88, 154,575.96 and 31,957 is: 47,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,035.88 : 154,575.96 = 31,957 : x
  2. Step 2: Convert to fraction form
    103,035.88/154,575.96 = 31,957/x
  3. Step 3: Cross multiply
    103,035.88x = 154,575.96 × 31,957
  4. Step 4: Simplify right side
    103,035.88x = 4,939,783,953.72
  5. Step 5: Solve for x
    x = 4,939,783,953.72/103,035.88
  6. Step 6: Final answer
    x = 47,942.37

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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.