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Finding the Fourth Proportional to 41,169.60, 61,705.80 and 30,769.20

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Solution

The fourth proportional to 41,169.60, 61,705.80 and 30,769.20 is: 46,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,169.60 : 61,705.80 = 30,769.20 : x
  2. Step 2: Convert to fraction form
    41,169.60/61,705.80 = 30,769.20/x
  3. Step 3: Cross multiply
    41,169.60x = 61,705.80 × 30,769.20
  4. Step 4: Simplify right side
    41,169.60x = 1,898,638,101.36
  5. Step 5: Solve for x
    x = 1,898,638,101.36/41,169.60
  6. Step 6: Final answer
    x = 46,117.48

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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.