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Finding the Fourth Proportional to 78,053.64, 117,085.50 and 27,446.46

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Solution

The fourth proportional to 78,053.64, 117,085.50 and 27,446.46 is: 41,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,053.64 : 117,085.50 = 27,446.46 : x
  2. Step 2: Convert to fraction form
    78,053.64/117,085.50 = 27,446.46/x
  3. Step 3: Cross multiply
    78,053.64x = 117,085.50 × 27,446.46
  4. Step 4: Simplify right side
    78,053.64x = 3,213,582,492.33
  5. Step 5: Solve for x
    x = 3,213,582,492.33/78,053.64
  6. Step 6: Final answer
    x = 41,171.46

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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.