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Finding the Fourth Proportional to 41,209.80, 61,814.70 and 31,368.30

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Solution

The fourth proportional to 41,209.80, 61,814.70 and 31,368.30 is: 47,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,209.80 : 61,814.70 = 31,368.30 : x
  2. Step 2: Convert to fraction form
    41,209.80/61,814.70 = 31,368.30/x
  3. Step 3: Cross multiply
    41,209.80x = 61,814.70 × 31,368.30
  4. Step 4: Simplify right side
    41,209.80x = 1,939,022,054.01
  5. Step 5: Solve for x
    x = 1,939,022,054.01/41,209.80
  6. Step 6: Final answer
    x = 47,052.45

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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.