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Finding the Fourth Proportional to 72,989.26, 109,598.46 and 43,538.44

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Solution

The fourth proportional to 72,989.26, 109,598.46 and 43,538.44 is: 65,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,989.26 : 109,598.46 = 43,538.44 : x
  2. Step 2: Convert to fraction form
    72,989.26/109,598.46 = 43,538.44/x
  3. Step 3: Cross multiply
    72,989.26x = 109,598.46 × 43,538.44
  4. Step 4: Simplify right side
    72,989.26x = 4,771,745,974.80
  5. Step 5: Solve for x
    x = 4,771,745,974.80/72,989.26
  6. Step 6: Final answer
    x = 65,376.00

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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.