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Finding the Fourth Proportional to 135,280, 202,920.64 and 47,728

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Solution

The fourth proportional to 135,280, 202,920.64 and 47,728 is: 71,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,280 : 202,920.64 = 47,728 : x
  2. Step 2: Convert to fraction form
    135,280/202,920.64 = 47,728/x
  3. Step 3: Cross multiply
    135,280x = 202,920.64 × 47,728
  4. Step 4: Simplify right side
    135,280x = 9,684,996,305.92
  5. Step 5: Solve for x
    x = 9,684,996,305.92/135,280
  6. Step 6: Final answer
    x = 71,592.23

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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.