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Finding the Fourth Proportional to 78,231.75, 117,356.78 and 24,905.05

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Solution

The fourth proportional to 78,231.75, 117,356.78 and 24,905.05 is: 37,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231.75 : 117,356.78 = 24,905.05 : x
  2. Step 2: Convert to fraction form
    78,231.75/117,356.78 = 24,905.05/x
  3. Step 3: Cross multiply
    78,231.75x = 117,356.78 × 24,905.05
  4. Step 4: Simplify right side
    78,231.75x = 2,922,776,242.61
  5. Step 5: Solve for x
    x = 2,922,776,242.61/78,231.75
  6. Step 6: Final answer
    x = 37,360.49

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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.