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Finding the Fourth Proportional to 101,953.86, 152,930.79 and 31,839.18

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Solution

The fourth proportional to 101,953.86, 152,930.79 and 31,839.18 is: 47,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,953.86 : 152,930.79 = 31,839.18 : x
  2. Step 2: Convert to fraction form
    101,953.86/152,930.79 = 31,839.18/x
  3. Step 3: Cross multiply
    101,953.86x = 152,930.79 × 31,839.18
  4. Step 4: Simplify right side
    101,953.86x = 4,869,190,950.35
  5. Step 5: Solve for x
    x = 4,869,190,950.35/101,953.86
  6. Step 6: Final answer
    x = 47,758.77

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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.