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Finding the Fourth Proportional to 56,978.31, 85,441.48 and 23,678.54

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Solution

The fourth proportional to 56,978.31, 85,441.48 and 23,678.54 is: 35,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.31 : 85,441.48 = 23,678.54 : x
  2. Step 2: Convert to fraction form
    56,978.31/85,441.48 = 23,678.54/x
  3. Step 3: Cross multiply
    56,978.31x = 85,441.48 × 23,678.54
  4. Step 4: Simplify right side
    56,978.31x = 2,023,129,015.44
  5. Step 5: Solve for x
    x = 2,023,129,015.44/56,978.31
  6. Step 6: Final answer
    x = 35,507.00

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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.