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Finding the Fourth Proportional to 78,651.12, 117,936.56 and 26,041.62

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Solution

The fourth proportional to 78,651.12, 117,936.56 and 26,041.62 is: 39,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,651.12 : 117,936.56 = 26,041.62 : x
  2. Step 2: Convert to fraction form
    78,651.12/117,936.56 = 26,041.62/x
  3. Step 3: Cross multiply
    78,651.12x = 117,936.56 × 26,041.62
  4. Step 4: Simplify right side
    78,651.12x = 3,071,259,079.63
  5. Step 5: Solve for x
    x = 3,071,259,079.63/78,651.12
  6. Step 6: Final answer
    x = 39,049.15

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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.