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Finding the Fourth Proportional to 77,996.68, 117,012.30 and 36,421

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Solution

The fourth proportional to 77,996.68, 117,012.30 and 36,421 is: 54,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,996.68 : 117,012.30 = 36,421 : x
  2. Step 2: Convert to fraction form
    77,996.68/117,012.30 = 36,421/x
  3. Step 3: Cross multiply
    77,996.68x = 117,012.30 × 36,421
  4. Step 4: Simplify right side
    77,996.68x = 4,261,704,978.30
  5. Step 5: Solve for x
    x = 4,261,704,978.30/77,996.68
  6. Step 6: Final answer
    x = 54,639.57

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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.