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Finding the Fourth Proportional to 72,241.92, 108,362.88 and 35,280

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Solution

The fourth proportional to 72,241.92, 108,362.88 and 35,280 is: 52,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,241.92 : 108,362.88 = 35,280 : x
  2. Step 2: Convert to fraction form
    72,241.92/108,362.88 = 35,280/x
  3. Step 3: Cross multiply
    72,241.92x = 108,362.88 × 35,280
  4. Step 4: Simplify right side
    72,241.92x = 3,823,042,406.40
  5. Step 5: Solve for x
    x = 3,823,042,406.40/72,241.92
  6. Step 6: Final answer
    x = 52,920

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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.