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Finding the Fourth Proportional to 76,278.20, 114,428.10 and 23,682.20

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Solution

The fourth proportional to 76,278.20, 114,428.10 and 23,682.20 is: 35,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,278.20 : 114,428.10 = 23,682.20 : x
  2. Step 2: Convert to fraction form
    76,278.20/114,428.10 = 23,682.20/x
  3. Step 3: Cross multiply
    76,278.20x = 114,428.10 × 23,682.20
  4. Step 4: Simplify right side
    76,278.20x = 2,709,909,149.82
  5. Step 5: Solve for x
    x = 2,709,909,149.82/76,278.20
  6. Step 6: Final answer
    x = 35,526.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.