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Finding the Fourth Proportional to 72,826.62, 109,239.93 and 41,640

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Solution

The fourth proportional to 72,826.62, 109,239.93 and 41,640 is: 62,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,826.62 : 109,239.93 = 41,640 : x
  2. Step 2: Convert to fraction form
    72,826.62/109,239.93 = 41,640/x
  3. Step 3: Cross multiply
    72,826.62x = 109,239.93 × 41,640
  4. Step 4: Simplify right side
    72,826.62x = 4,548,750,685.20
  5. Step 5: Solve for x
    x = 4,548,750,685.20/72,826.62
  6. Step 6: Final answer
    x = 62,460

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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.