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Finding the Fourth Proportional to 77,986.80, 117,020.70 and 36,433.80

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Solution

The fourth proportional to 77,986.80, 117,020.70 and 36,433.80 is: 54,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,986.80 : 117,020.70 = 36,433.80 : x
  2. Step 2: Convert to fraction form
    77,986.80/117,020.70 = 36,433.80/x
  3. Step 3: Cross multiply
    77,986.80x = 117,020.70 × 36,433.80
  4. Step 4: Simplify right side
    77,986.80x = 4,263,508,779.66
  5. Step 5: Solve for x
    x = 4,263,508,779.66/77,986.80
  6. Step 6: Final answer
    x = 54,669.62

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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.