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Finding the Fourth Proportional to 187,213.60, 280,821.60 and 74,903.20

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Solution

The fourth proportional to 187,213.60, 280,821.60 and 74,903.20 is: 112,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,213.60 : 280,821.60 = 74,903.20 : x
  2. Step 2: Convert to fraction form
    187,213.60/280,821.60 = 74,903.20/x
  3. Step 3: Cross multiply
    187,213.60x = 280,821.60 × 74,903.20
  4. Step 4: Simplify right side
    187,213.60x = 21,034,436,469.12
  5. Step 5: Solve for x
    x = 21,034,436,469.12/187,213.60
  6. Step 6: Final answer
    x = 112,355.28

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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.